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Simplifying 12 + -1(3x + -17) + -12x = -1(4x + 10 + -2x) Reorder the terms: 12 + -1(-17 + 3x) + -12x = -1(4x + 10 + -2x) 12 + (-17 * -1 + 3x * -1) + -12x = -1(4x + 10 + -2x) 12 + (17 + -3x) + -12x = -1(4x + 10 + -2x) Combine like terms: 12 + 17 = 29 29 + -3x + -12x = -1(4x + 10 + -2x) Combine like terms: -3x + -12x = -15x 29 + -15x = -1(4x + 10 + -2x) Reorder the terms: 29 + -15x = -1(10 + 4x + -2x) Combine like terms: 4x + -2x = 2x 29 + -15x = -1(10 + 2x) 29 + -15x = (10 * -1 + 2x * -1) 29 + -15x = (-10 + -2x) Solving 29 + -15x = -10 + -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. 29 + -15x + 2x = -10 + -2x + 2x Combine like terms: -15x + 2x = -13x 29 + -13x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + -13x = -10 + 0 29 + -13x = -10 Add '-29' to each side of the equation. 29 + -29 + -13x = -10 + -29 Combine like terms: 29 + -29 = 0 0 + -13x = -10 + -29 -13x = -10 + -29 Combine like terms: -10 + -29 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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