To solve the equation \(-5(6x + 15) = -45\), follow these steps:
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Start by distributing the \(-5\) on the left side of the equation: \[ -5 \cdot 6x - 5 \cdot 15 = -45 \] which simplifies to: \[ -30x - 75 = -45 \]
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Next, add \(75\) to both sides to isolate the term involving \(x\): \[ -30x - 75 + 75 = -45 + 75 \] which simplifies to: \[ -30x = 30 \]
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Now, divide by \(-30\) to solve for \(x\): \[ x = \frac{30}{-30} = -1 \]
So the solution is: \[ x = -1 \]
The correct response is: x=−1 (x equals negative 1).