Let's start with the equation:
\[ -2(3x - 15) = -56 \]
First, distribute the \(-2\) on the left side:
\[ -6x + 30 = -56 \]
Next, isolate the term with \(x\) by subtracting \(30\) from both sides:
\[ -6x = -56 - 30 \]
Calculate the right side:
\[ -6x = -86 \]
Now, divide both sides by \(-6\):
\[ x = \frac{-86}{-6} = \frac{86}{6} \]
Simplifying \(\frac{86}{6}\) gives:
\[ x = \frac{43}{3} \]
Thus, the solution to the equation is:
\[ \boxed{\frac{43}{3}} \]
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