To solve the equation \( \frac{1}{3}x + 12 = 21 \) for the number of games \( x \) played last season, follow these steps:
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Subtract 12 from both sides of the equation: \[ \frac{1}{3}x + 12 - 12 = 21 - 12 \] \[ \frac{1}{3}x = 9 \]
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Multiply both sides by 3 to isolate \( x \): \[ 3 \cdot \frac{1}{3}x = 3 \cdot 9 \] \[ x = 27 \]
Therefore, the number of games they played last season is 27 games.