To solve the equation \( 5(2x - 8) = -30 \), follow these steps:
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Distribute the \( 5 \) on the left side:
\[ 10x - 40 = -30 \]
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Add \( 40 \) to both sides:
\[ 10x - 40 + 40 = -30 + 40 \]
This simplifies to:
\[ 10x = 10 \]
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Divide both sides by \( 10 \):
\[ x = 1 \]
So, the solution is:
\[ \boxed{1} \]