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Simplifying x + -1(x + 5) + -2(x + -5) = 17 + x Reorder the terms: x + -1(5 + x) + -2(x + -5) = 17 + x x + (5 * -1 + x * -1) + -2(x + -5) = 17 + x x + (-5 + -1x) + -2(x + -5) = 17 + x Reorder the terms: x + -5 + -1x + -2(-5 + x) = 17 + x x + -5 + -1x + (-5 * -2 + x * -2) = 17 + x x + -5 + -1x + (10 + -2x) = 17 + x Reorder the terms: -5 + 10 + x + -1x + -2x = 17 + x Combine like terms: -5 + 10 = 5 5 + x + -1x + -2x = 17 + x Combine like terms: x + -1x = 0 5 + 0 + -2x = 17 + x 5 + -2x = 17 + x Solving 5 + -2x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -2x + -1x = 17 + x + -1x Combine like terms: -2x + -1x = -3x 5 + -3x = 17 + x + -1x Combine like terms: x + -1x = 0 5 + -3x = 17 + 0 5 + -3x = 17 Add '-5' to each side of the equation. 5 + -5 + -3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 17 + -5 -3x = 17 + -5 Combine like terms: 17 + -5 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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