To solve the equation \(-7(5x - 10) - 10 = 25\), follow these steps:
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Distribute \(-7\) to both terms inside the parentheses: \[ -7 \times 5x + (-7) \times (-10) = -35x + 70 \]
So, the equation becomes: \[ -35x + 70 - 10 = 25 \]
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Simplify the left side by combining like terms: \[ -35x + 60 = 25 \]
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Subtract \(60\) from both sides: \[ -35x = 25 - 60 \] \[ -35x = -35 \]
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Divide both sides by \(-35\): \[ x = 1 \]
Thus, the solution is: \[ \boxed{1} \]