Let's solve the equation step by step:
Given: \[ -2(3x - 15) - 25 = 35 \]
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Distribute the -2 to the terms inside the parentheses: \[ -2 \cdot 3x + 30 - 25 = 35 \]
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Simplify: \[ -6x + 30 - 25 = 35 \] \[ -6x + 5 = 35 \]
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Subtract 5 from both sides: \[ -6x = 35 - 5 \] \[ -6x = 30 \]
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Divide by -6: \[ x = \frac{30}{-6} \] \[ x = -5 \]
Thus, the solution is: \[ \boxed{-5} \]
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