To simplify \(-4(x - 5)\) using the distributive property, you will distribute \(-4\) to both \(x\) and \(-5\).
Here are the steps:
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Multiply \(-4\) by \(x\): \[ -4 \cdot x = -4x \]
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Multiply \(-4\) by \(-5\): \[ -4 \cdot -5 = 20 \]
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Combine the results: \[ -4(x - 5) = -4x + 20 \]
So, the simplified expression is: \[ -4x + 20 \]