To solve the equation \( 11 - 4x = -9 \), follow these steps:
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Subtract 11 from both sides of the equation: \[ -4x = -9 - 11 \] \[ -4x = -20 \]
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Divide both sides by -4: \[ x = \frac{-20}{-4} \] \[ x = 5 \]
Thus, the solution to the equation \( 11 - 4x = -9 \) is \( \boxed{5} \).