Who won and who lost in Tuesday’s elections.

Voters in Alabama, Georgia, Virginia and Washington, D.C., weighed in on elections for the Senate, House and other offices on Tuesday. And officials in Texas announced the results of a recount in a closely watched Democratic primary for the House.

Here is a rundown of some of the most notable wins and losses:

Alabama

• Katie Britt, a former lobbyist and chief of staff to Senator Richard Shelby, convincingly defeated Representative Mo Brooks in a runoff for the Republican nomination for Senate. Former President Donald J. Trump had initially endorsed Mr. Brooks, but he withdrew that support in March as the congressman’s poll numbers sagged. This month, in the race’s final days, Mr. Trump endorsed Ms. Britt.

Georgia

• Mike Collins, the owner of a trucking company, easily captured the Republican runoff in Georgia’s 10th Congressional District, brushing aside Vernon Jones, a former state lawmaker who had the backing of Mr. Trump.

• Rich McCormick, a physician and retired Marine, defeated Jake Evans, the former chair of Georgia’s ethics commission and the son of a Trump administration ambassador, in the Republican primary runoff for Georgia’s Sixth Congressional District. Mr. Evans had been endorsed by Mr. Trump.

• Bee Nguyen, a state representative, won the Democratic nomination for secretary of state. She will face the Republican incumbent, Brad Raffensperger, who resisted Mr. Trump’s demands to “find” additional votes that would help him overturn the 2020 presidential contest in the state.

• Jeremy Hunt, a well-funded retired Army captain backed by top Republican leaders, was defeated by Chris West, a lawyer and Air National Guard officer, in the Republican primary in the Second Congressional District. Mr. West will face Representative Sanford Bishop Jr., a moderate Democrat.

Virginia

• Jen Kiggans, a state senator, picked up the Republican nomination in the Second Congressional District, handily beating Jarome Bell, who had called for the execution of people convicted of voter fraud. Ms. Kiggans will face Representative Elaine Luria, a Democrat, in what is expected to be a highly competitive House race in the fall.

• Yesli Vega, a sheriff’s deputy on the Prince William County Board of Supervisors, prevailed in the Republican primary in the state’s Seventh Congressional District. She will take on Representative Abigail Spanberger, an embattled Democrat.

Washington, D.C.

Texas

• Representative Henry Cuellar, the nine-term congressman from South Texas, has defeated his progressive challenger, Jessica Cisneros, a lawyer, according to a recount of ballots from their May 24 runoff. In November, Mr. Cuellar will face Cassy Garcia, a former aide to Senator Ted Cruz who won the Republican nomination.

Maya King and Jazmine Ulloa contributed reporting.