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Simplifying -7(x + 5) + -5(x + -8) = 17 Reorder the terms: -7(5 + x) + -5(x + -8) = 17 (5 * -7 + x * -7) + -5(x + -8) = 17 (-35 + -7x) + -5(x + -8) = 17 Reorder the terms: -35 + -7x + -5(-8 + x) = 17 -35 + -7x + (-8 * -5 + x * -5) = 17 -35 + -7x + (40 + -5x) = 17 Reorder the terms: -35 + 40 + -7x + -5x = 17 Combine like terms: -35 + 40 = 5 5 + -7x + -5x = 17 Combine like terms: -7x + -5x = -12x 5 + -12x = 17 Solving 5 + -12x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 17 + -5 -12x = 17 + -5 Combine like terms: 17 + -5 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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