Let \( x \) represent the number of games Annette’s soccer team played last season. According to the problem, the number of games they will play this season (15 games) is seven games fewer than two times the number of games they played last season.
We can set up the equation as follows:
\[ 2x - 7 = 15 \]
To rewrite this equation in the form \( px + q = r \), we can rearrange it:
- Start with \( 2x - 7 = 15 \).
- Add 7 to both sides:
\[ 2x = 15 + 7 \] \[ 2x = 22 \]
So the equation in the desired form \( px + q = r \) is:
\[ 2x - 22 = 0 \]
This equation can also be interpreted as \( 2x + (-22) = 0 \) if desired.
To solve for \( x \):
\[ 2x = 22 \implies x = \frac{22}{2} = 11 \]
Thus, Annette’s soccer team played 11 games last season.
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