AUSTIN, Texas —

Texas Republican Gov. Greg Abbott easily bested a group of conservative challengers to lock up his party’s nomination Tuesday, and will face Democrat Beto O’Rourke in the November general election.

O’Rourke nearly ousted Texas Sen. Ted Cruz in 2018 will get the chance to try for an even bigger upset in November. He’ll be an underdog against Abbott, who began the campaign with more than $50 million and staking out hard-line positions on abortion guns and immigration.

Some of those casting ballots, however, said they were worried about new restrictions on abortion that are the toughest in America going too far.

“That’s where I think Greg Abbott and the current Republicans kind of crossed the line,” said Eric Medrano, 25, a longshoreman in Houston who voted for one of Abbott’s far-right challengers, Don Huffines. He added, “I don’t believe (abortion) should be banned at such an early, early stage."

In the GOP attorney general primary, incumbent Ken Paxton is facing several challengers, including Texas Land Commissioner George P. Bush, the nephew of one president and grandson of another, and U.S. Rep. Louie Gohmert. Paxton led a failed lawsuit to overturn the 2020 election and has for years faced securities fraud charges and an FBI investigation into corruption allegations. He has broadly denied wrongdoing.

Democrats face challenges of their own. Nine-term U.S. Rep. Henry Cuellar is hoping to avoid becoming the first Democratic member of Congress to lose a primary this year. He's facing progressive Jessica Cisneros and is contending with the fallout of a recent FBI raid on his home, though he's denied wrongdoing.

Still, in America’s largest Republican state, much of the focus is on the GOP’s rightward lurch.

Texas’ rapid growth — driven by more than 4 million new residents — has shifted once solidly red suburbs away from Republicans. But the GOP has countered that with redrawn maps that left fewer competitive congressional districts along with dramatic new voting restrictions.

Thousands of mail-in ballot applications — and actual ballots — were rejected under the new requirements. Most of those were due to voters not including newly mandated identification, worrying local elections officials that many won’t correct problems to have their vote count.

“Just common sense will tell you there is going to be a number of people who don’t cure that ballot,” said Bruce Sherbert, the nonpartisan election administrator in Collin County, in Dallas' northern suburbs.

Absent poll workers and technical hiccups also caused isolated delays in two major cities Tuesday.

In Houston, morning voters were left standing in line or looking for polling places after a Harris County website that directs people to nearby voting sites went down temporarily.

Also, a handful of Democratic poll workers in Fort Worth did not show up as scheduled, delaying the opening of some party polling places in Tarrant County. New state law requires each party to have a separate setup at voting sites.

The primary is also a first test of Republicans more aggressively courting Hispanic voters — and even before polls closed, they were celebrating.

Counties along the state's border with Mexico, long a stronghold for Democrats, were on track to smash Republican turnout levels compared with recent elections. It is the latest warning sign for Democrats who are trying to hold the line with Hispanic voters who swung toward former President Donald Trump in 2020.

Texas votes as the nation slowly moves out of the deepest lows of a pandemic that has raged for nearly two years. But that's tempered by inflation reaching a decades-high level and a burgeoning war in Europe. There are also persistent questions about the country's commitment to basic democratic principles after many GOP leaders have tied themselves to Trump's lie that the 2020 election was stolen.

After Texas, primaries in other states won't resume until May. That means results here could be viewed for months as a measure of the nation's political mood.

Republicans are betting that Texas' primaries will be the first step toward them retaking Congress in November, pointing to President Joe Biden’s low approval ratings, spiking inflation and anger about the chaotic withdrawal of U.S. forces from Afghanistan.

History is also on the GOP's side. The party controlling the White House has lost congressional seats in the first midterm race every election cycle this century except in 2002, after the Sept. 11 terrorist attacks.

But the fight over the party's future is much fiercer than it was 20 years ago.

U.S. Rep. Van Taylor of North Texas, for instance, has become a target for some on the right after he voted to certify Biden's electoral victory and to create an independent commission to investigate the Capitol insurrection. The Republican now faces four primary challengers who have largely refused to accept Biden's victory and have tried to minimize the insurrection.

National Democrats say Trump's outsize GOP influence and an economy roaring back from the pandemic may help them counter political precedent. Still, disagreements between the party’s progressive and more moderate congressional wings helped doom Build Back Better, a sweeping, Biden-backed spending and social programs package.

Cisneros is one of three Texas progressives who could secure Democratic nominations in House districts blue enough to all but guarantee they’ll be headed to Congress. A 28-year-old immigration attorney who supports Medicare for All, Cisneros nearly toppled Cuellar during Texas' 2020 primary. She still has to overcome Cuellar’s strong name recognition, though.

Cisneros has been endorsed by progressive stalwarts Vermont Sen. Bernie Sanders and New York Rep. Alexandria Ocasio-Cortez, who campaigned with her and with Greg Casar, an Austin City Council member who championed a $15 citywide minimum wage and is favored to win the Democratic nomination for an open House seat representing Texas' capital.

In Dallas, civil rights attorney and state lawmaker Jasmine Crockett has denounced “puppets” of the Democratic establishment and is running for a seat being vacated by longtime congresswoman Eddie Bernice Johnson, who has endorsed her.

Emily Winnenberg, 29, who owns a small business in Dallas, voted in the Democratic primary and said abortion and voting rights were top of mind.

“I’m first and foremost extremely concerned with women’s reproductive rights being all but being taken away,” Winnenberg said, adding that Biden's unpopularity means he "has a PR problem, not a logistical problem.”

“I think he’s actually accomplishing a lot for Americans," she said. “He’s done a good job getting the country back on track in terms of COVID precautions and getting that under control.”

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Weissert reported from Washington. Associated Press writers Juan Lozano in Houston, Jamie Stengle in Dallas, Acacia Coronado in Austin, Jake Bleiberg in Houston and Jill Colvin in New York contributed to this report.

Voting ends Tuesday in Texas, where the first primary races of the 2022 election cycle are taking place.The primary races will set the scene for several key races up and down the Texas ballot this year, including the Lone Star State's gubernatorial and attorney general elections. Tuesday's primary is the first election to be held under Texas' new elections law, which made significant changes to voting procedures in the state. Texans were able to early vote from Feb. 14 to Feb. 25, and some were eligible to mail in their ballots. Polls will be open on Tuesday.Key races to watchGovernorAt the top of the ticket, seven Republican challengers are looking to oust incumbent Gov. Greg Abbott, who's vying for a third-term as Texas' top executive. Buoyed by name recognition and the backing of former President Donald Trump, Abbott has spent most of his primary campaign focused on Beto O'Rourke, the former Democratic House member — and Senate and presidential candidate — who is favored to win the Democratic nomination. In the lead up to the primary, Abbott's GOP challengers, including former Texas Republican Party chair and former Florida Rep. Allen West and former Texas state Sen. Don Huffines, have pushed the governor further to the right on hot-button Republican issues after attacking him for not being conservative enough. Abbott now boasts a record that includes signing new elections law and a ban on abortions after six weeks. He also issued an executive order forbidding all entities, including private employers, from enforcing vaccine mandates.Attorney generalThe race for attorney general comes as incumbent Ken Paxton, who is being challenged by three other conservative candidates, faces an indictment — though it's not the first time Paxton's run while under investigation. In 2018, the attorney general ran while being indicted on charges of securities fraud, and that case is ongoing. Now Paxton faces more allegations of wrongdoing, after members of his staff accused him of bribery and abuse of office in 2020. Paxton, who has the backing of Trump, is up against one of the former President's chief defenders, Rep. Louie Gomhert, as well as George P. Bush, the current Texas Land Commissioner as well as former President George W. Bush's nephew and former Florida Gov. Jeb Bush's son, and Eva Guzman, the former state Supreme Court justice and only woman running on the Republican side. 28th congressional districtDown in South Texas, Rep. Henry Cuellar, considered a political institution in Laredo, is facing off in a rematch against 28-year-old progressive immigration attorney Jessica Cisneros. The race comes amid the backdrop of an FBI investigation into Cuellar — who survived his first matchup against Cisneros in 2020, winning by less than four percentage points. Cisneros is seizing on the FBI probe and capitalizing on progressive momentum. She has the support of Vermont Sen. Bernie Sanders, Massachusetts Sen. Elizabeth Warren, New York Rep. Alexandria Ocasio Cortez as well as many progressive organizations who are looking to oust one of the House's most conservative Democrats. Cuellar is one of the only House Democrats who vocally disagrees with codifying the right to abortion and expanding abortion access.How to votePolls in Texas open at 7 a.m. and will close at 7 p.m. local time. Most of Texas is on Central Time, but the western tip of the state around El Paso is on Mountain Time.Candidates need to win more than 50% of the vote in order to avoid a runoff. Any races that advance to a runoff will take place on May 24.Any voter in Texas can vote early in person. The first day of early in-person voting was Feb. 14, and early voting in-person ended on Feb. 25.To vote by mail, a person must meet one of five criteria: They will be away from their county on Election Day and during the hours that early voting is conducted, are sick or disabled, expected to give birth within three weeks before or after Election Day, are 65 years old or older on Election Day or are confined in jail or involuntary civil commitment.Vote-by-mail applications must have been received by the early voting clerk by Fe. 18, and mail-in ballots can be received 5 p.m. on March 3, as long as they're postmarked by 7 p.m. on March 1.This primary is the first statewide election in Texas to be conducted under the state's new restrictive election law. The law limited early voting hours, eliminated drive-through voting and added new ID requirements for mail voting, among other changes. The changes are already having an impact on voters.The deadline to register to vote was Jan. 31.