To solve the equation \(-5(6x + 15) = -45\), follow these steps:
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Distribute \(-5\) on the left side:
\[ -5 \cdot 6x - 5 \cdot 15 = -30x - 75 \]
So the equation becomes:
\[ -30x - 75 = -45 \]
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Next, add \(75\) to both sides to isolate the term with \(x\):
\[ -30x - 75 + 75 = -45 + 75 \]
This simplifies to:
\[ -30x = 30 \]
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Now, divide both sides by \(-30\) to solve for \(x\):
\[ x = \frac{30}{-30} \]
This simplifies to:
\[ x = -1 \]
Thus, the solution is
\[ \boxed{-1} \]