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Virat Kohli made 22, while Shubman Gill scored 21.
At the break, Axar Patel (6 batting) and Ravichandran Ashwin (1 batting) were at the crease.
Left-arm spinner Matthew Kuhnemann (3/14) and Nathan Lyon (3/23) picked up three wickets each for Australia on a turning pitch.
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India 1st Innings: 84 for 7 in 26 overs (Virat Kohli 22; Matthew Kuhnemann 3/14, Nathan Lyon 3/23).