To solve the equation \(-2(3x - 15) - 25 = 35\), follow these steps:
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Distribute the \(-2\) in the equation: \[ -2 \cdot 3x + (-2) \cdot (-15) - 25 = 35 \] This simplifies to: \[ -6x + 30 - 25 = 35 \]
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Combine the constants \(30\) and \(-25\): \[ -6x + 5 = 35 \]
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Next, isolate the term containing \(x\) by subtracting \(5\) from both sides: \[ -6x = 35 - 5 \] This simplifies to: \[ -6x = 30 \]
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Now, solve for \(x\) by dividing both sides by \(-6\): \[ x = \frac{30}{-6} \] This simplifies to: \[ x = -5 \]
So, the solution is: \[ \boxed{-5} \]