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Simplifying x + 17 = -1(2x + -8) Reorder the terms: 17 + x = -1(2x + -8) Reorder the terms: 17 + x = -1(-8 + 2x) 17 + x = (-8 * -1 + 2x * -1) 17 + x = (8 + -2x) Solving 17 + x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + x + 2x = 8 + -2x + 2x Combine like terms: x + 2x = 3x 17 + 3x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 3x = 8 + 0 17 + 3x = 8 Add '-17' to each side of the equation. 17 + -17 + 3x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 8 + -17 3x = 8 + -17 Combine like terms: 8 + -17 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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