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Simplifying 17 + -2(x + -3) = 12 + -5(x + -1) Reorder the terms: 17 + -2(-3 + x) = 12 + -5(x + -1) 17 + (-3 * -2 + x * -2) = 12 + -5(x + -1) 17 + (6 + -2x) = 12 + -5(x + -1) Combine like terms: 17 + 6 = 23 23 + -2x = 12 + -5(x + -1) Reorder the terms: 23 + -2x = 12 + -5(-1 + x) 23 + -2x = 12 + (-1 * -5 + x * -5) 23 + -2x = 12 + (5 + -5x) Combine like terms: 12 + 5 = 17 23 + -2x = 17 + -5x Solving 23 + -2x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 23 + -2x + 5x = 17 + -5x + 5x Combine like terms: -2x + 5x = 3x 23 + 3x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 23 + 3x = 17 + 0 23 + 3x = 17 Add '-23' to each side of the equation. 23 + -23 + 3x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 17 + -23 3x = 17 + -23 Combine like terms: 17 + -23 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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