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Simplifying 12 = -3(x + -2) + 2(1 + x) Reorder the terms: 12 = -3(-2 + x) + 2(1 + x) 12 = (-2 * -3 + x * -3) + 2(1 + x) 12 = (6 + -3x) + 2(1 + x) 12 = 6 + -3x + (1 * 2 + x * 2) 12 = 6 + -3x + (2 + 2x) Reorder the terms: 12 = 6 + 2 + -3x + 2x Combine like terms: 6 + 2 = 8 12 = 8 + -3x + 2x Combine like terms: -3x + 2x = -1x 12 = 8 + -1x Solving 12 = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + x = 8 + -1x + x Combine like terms: -1x + x = 0 12 + x = 8 + 0 12 + x = 8 Add '-12' to each side of the equation. 12 + -12 + x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + x = 8 + -12 x = 8 + -12 Combine like terms: 8 + -12 = -4 x = -4 Simplifying x = -4
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