Jackson was the standout performer for the Thunder, with the 24-year-old notching a career-best 32 points to help push his side over the line.
"[We're] just happy to get this win, but we know we have to move past it," Jackson said after the game.
"[It's a} three-game series now. We're back to having home-court advantage. I think this is a great matchup for TV ratings. Neither team really goes away. It's just a great battle."
The two teams will do battle again on Tuesday when they meet for their Game Five clash in Oklahoma.