To solve the equation \(\frac{12 - x}{9} = 11\), follow these steps:
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Multiply both sides by 9 to eliminate the fraction: \[ 12 - x = 11 \times 9 \] \[ 12 - x = 99 \]
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Next, isolate \(x\) by moving \(12\) to the other side: \[ -x = 99 - 12 \] \[ -x = 87 \]
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Finally, multiply both sides by -1 to solve for \(x\): \[ x = -87 \]
Thus, the solution is: \[ \boxed{-87} \]