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Simplifying -3(2x + -4) + 2x = -1(x + -3) + 12 Reorder the terms: -3(-4 + 2x) + 2x = -1(x + -3) + 12 (-4 * -3 + 2x * -3) + 2x = -1(x + -3) + 12 (12 + -6x) + 2x = -1(x + -3) + 12 Combine like terms: -6x + 2x = -4x 12 + -4x = -1(x + -3) + 12 Reorder the terms: 12 + -4x = -1(-3 + x) + 12 12 + -4x = (-3 * -1 + x * -1) + 12 12 + -4x = (3 + -1x) + 12 Reorder the terms: 12 + -4x = 3 + 12 + -1x Combine like terms: 3 + 12 = 15 12 + -4x = 15 + -1x Solving 12 + -4x = 15 + -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 + -4x + x = 15 + -1x + x Combine like terms: -4x + x = -3x 12 + -3x = 15 + -1x + x Combine like terms: -1x + x = 0 12 + -3x = 15 + 0 12 + -3x = 15 Add '-12' to each side of the equation. 12 + -12 + -3x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 15 + -12 -3x = 15 + -12 Combine like terms: 15 + -12 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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