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Simplifying -5x + 7(x + -5) = -17 Reorder the terms: -5x + 7(-5 + x) = -17 -5x + (-5 * 7 + x * 7) = -17 -5x + (-35 + 7x) = -17 Reorder the terms: -35 + -5x + 7x = -17 Combine like terms: -5x + 7x = 2x -35 + 2x = -17 Solving -35 + 2x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2x = -17 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -17 + 35 2x = -17 + 35 Combine like terms: -17 + 35 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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