Question

To solve the equation \(-2(3x - 15) - 25 = 35\), we will follow these steps:

1. Distribute \(-2\) across the parentheses:
\[
-2 \cdot 3x + 2 \cdot 15 - 25 = 35
\]
This simplifies to:
\[
-6x + 30 - 25 = 35
\]

2. Combine like terms on the left side:
\[
-6x + 5 = 35
\]

3. Subtract \(5\) from both sides:
\[
-6x = 35 - 5
\]
Which simplifies to:
\[
-6x = 30
\]

4. Divide both sides by \(-6\) to solve for \(x\):
\[
x = \frac{30}{-6} = -5
\]

Thus, the solution is:
\[
\boxed{-5}
\]