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Let's represent the number of games Annette's soccer team played last season as "x".
Since the team will play 15 games this season, we can represent this as "15".
According to the problem statement, the number of games this season is 17 games fewer than 2 times the number of games played last season.
So, 2x - 17 = 15.
Simplifying the equation, we have: 2x = 15 + 17
2x = 32
Dividing both sides of the equation by 2, we get:
x = 16
Therefore, Annette's soccer team played 16 games last season.