Primary election updates: Brad Raffensperger wins Georgia primary

ABC News projects that in the Texas Republican primary runoff, incumbent Attorney General Ken Paxton will win. As of 9 p.m. Eastern, with 29% of the expected vote in, Paxton leads with 66% of the vote, while George P. Bush follows with 34% of the vote.

This race was both a test of Trump’s endorsement and the power of political dynasties, in this case: the Bushes.

Paxton received former President Donald Trump’s endorsement in July 2021 but went into the runoff engulfed in scandals that include indictment for securities fraud, FBI investigations into malfeasance and marital infidelity, among others. He denies all allegations.

His opponent was Bush, who is George H. W. Bush’s grandson and son of former Florida Gov. Jeb Bush. He is the only member of his famous family still in public office, currently serving as commissioner of the Texas General Land Office.

ABC News projects that Rep. Marjorie Taylor Greene is the winner of the Republican primary in Georgia's 14th Congressional District.

Greene edged out five Republican competitors and overcame a legal challenge to her reelection despite her turbulent tenure in Congress.

As ABC’s Hannah Demissie reported, a group of Georgia voters said that Greene was not eligible to run for reelection due to her alleged involvement in the Jan. 6 attacks on the Capitol, citing the 14th Amendment. Georgia Secretary of State Brad Raffensperger agreed in early May with the court’s recommendation that Greene is allowed to stay on the ballot.

The final polls of the night have closed in Arkansas and Montana.

In Arkansas, voters are picking their party's nominees for governor and Senate. In Minnesota, there is a special election to choose a replacement for Rep. Jim Hagedorn, who died in February.

ABC News has projected that sitting Gov. Brian Kemp will win the Republican nomination in Georgia, defeating former President Donald Trump's pick David Perdue.

Trump personally courted Perdue to challenge Kemp after the governor refused to indulge his baseless claims about the 2020 election. Despite the former president’s backing, Perdue consistently lagged in polling and fundraising against Kemp.

Kemp’s presumptive victory sets up a rematch between him and Stacey Abrams, who ABC News has projected to win the Democratic nomination. Their bitter 2018 race for the governorship was decided by less than 55,000 votes. Abrams admitted defeat but said she refused to call it a “concession,” citing tactics she said were used to suppress the vote.