To solve the equation \( 12 - \frac{x}{9} = 11 \), follow these steps:
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Subtract 12 from both sides: \[ -\frac{x}{9} = 11 - 12 \] \[ -\frac{x}{9} = -1 \]
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Multiply both sides by -1: \[ \frac{x}{9} = 1 \]
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Multiply both sides by 9: \[ x = 9 \]
Thus, the solution is: \[ \boxed{9} \]