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Watch: Highlights from the Novak Djokovic vs Tomas Machac Dubai Championships

Top-ranked Novak Djokovic held on to beat Czech qualifier Tomas Machac 6-3, 3-6, 7-6 (1) at the Dubai Championships on Tuesday in his first match since winning his 10th Australian Open title.

Djokovic's first-round victory came a day after the 35-year-old Serb broke the record for the most time spent at No. 1 in the professional tennis rankings by a man or woman.

Djokovic was a bit rusty on his return from a few weeks off after overcoming a hamstring problem in Australia to win his record-equaling 22nd Grand Slam singles title. He led 4-1 in the third set Tuesday before the 130th-ranked Machac forced a tiebreaker.

"He was giving me all kinds of trouble, but I guess when it mattered I found another gear," Djokovic said in his on-court interview. "I haven't played much tennis (recently), so I'm hoping as the tournament progresses I can raise the level."

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A presentation was held after Tuesday's match to recognize Djokovic's 378th week in the ATP's top spot, surpassing Steffi Graf's 377 leading the WTA.

"As a young boy growing up in Serbia, I dreamt of two things—winning Wimbledon and being No. 1 in the world. I've been blessed to achieve both of my childhood dreams, several times," he said.