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Simplifying -3(2x + -4) = -2x + 8(12 + -1x) Reorder the terms: -3(-4 + 2x) = -2x + 8(12 + -1x) (-4 * -3 + 2x * -3) = -2x + 8(12 + -1x) (12 + -6x) = -2x + 8(12 + -1x) 12 + -6x = -2x + (12 * 8 + -1x * 8) 12 + -6x = -2x + (96 + -8x) Reorder the terms: 12 + -6x = 96 + -2x + -8x Combine like terms: -2x + -8x = -10x 12 + -6x = 96 + -10x Solving 12 + -6x = 96 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + -6x + 10x = 96 + -10x + 10x Combine like terms: -6x + 10x = 4x 12 + 4x = 96 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 4x = 96 + 0 12 + 4x = 96 Add '-12' to each side of the equation. 12 + -12 + 4x = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 96 + -12 4x = 96 + -12 Combine like terms: 96 + -12 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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