To solve the equation \( 5(-2x + 4) = 40 \), follow these steps:
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Distribute the 5 on the left side: \[ 5 \cdot -2x + 5 \cdot 4 = -10x + 20 \] So, the equation becomes: \[ -10x + 20 = 40 \]
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Subtract 20 from both sides: \[ -10x = 40 - 20 \] \[ -10x = 20 \]
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Divide both sides by -10: \[ x = \frac{20}{-10} \] \[ x = -2 \]
Thus, the solution is \( x = -2 \).