To solve the equation \( 50(4x + 12) = -200 \), follow these steps:
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Distribute the 50: \[ 50 \times 4x + 50 \times 12 = -200 \] which simplifies to: \[ 200x + 600 = -200 \]
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Subtract 600 from both sides: \[ 200x + 600 - 600 = -200 - 600 \] This simplifies to: \[ 200x = -800 \]
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Divide both sides by 200: \[ x = \frac{-800}{200} \] This simplifies to: \[ x = -4 \]
So the solution is \( x = -4 \).
The correct response is: x = -4.