New York Times

• Steve Hilton Wins Second Spot in California Governor Race, Beating Tom Steyer

  Steve Hilton, a Republican endorsed by President Trump, will face Xavier Becerra, a Democrat, in the general election. Tom Steyer, another Democrat, will not advance.

• Sanders-Backed Progressive Advances in California Swing District Against Valadao

  Randy Villegas will face the incumbent, David Valadao, a Republican who has survived numerous challenges in a competitive district.

• Rep. Kevin Kiley, Independent, to Face Richard Pan in California House Race

  Mr. Kiley dropped his Republican affiliation earlier this year. The newly drawn Sixth Congressional District is widely considered to be favorable for Democrats.

• Lindsey Graham Wins Republican Senate Primary in South Carolina

  Mr. Graham, a four-term incumbent, is the favorite to win the general election in a solidly Republican state.

• Nevada Attorney General Wins Democratic Nomination for Governor

  Aaron Ford easily outpaced a Washoe County commissioner, Alexis Hill, for the nod to take on Gov. Joe Lombardo in November.