To solve the equation \( 4x - 4 = -32 \), follow these steps:
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Add 4 to both sides to eliminate the -4: \[ 4x - 4 + 4 = -32 + 4 \] This simplifies to: \[ 4x = -28 \]
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Divide both sides by 4 to solve for \( x \): \[ x = \frac{-28}{4} \] This simplifies to: \[ x = -7 \]
Thus, the solution is: \[ \boxed{-7} \]