To solve for \( x \) in the equation \(-2(3x-15)-25 = 35\), we can follow these steps:
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Distribute \(-2\) to the terms inside the parentheses: \[ -2(3x) + 2(15) - 25 = 35 \] This simplifies to: \[ -6x + 30 - 25 = 35 \]
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Combine the constant terms on the left side: \[ -6x + 5 = 35 \]
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Subtract \( 5 \) from both sides: \[ -6x = 35 - 5 \] Simplifying this gives: \[ -6x = 30 \]
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Divide both sides by \(-6\) to solve for \( x \): \[ x = \frac{30}{-6} \] This simplifies to: \[ x = -5 \]
Thus, the solution is: \[ \boxed{-5} \]