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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Isolate x by first moving \( x \) to one side and the numbers to the other:
\[ -x = 99 - 12 \]
\[ -x = 87 \]
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Multiply both sides by -1 to solve for \( x \):
\[ x = -87 \]
So, the solution is:
\[ x = -87 \]