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Simplifying -2[x + -4] + -1[3x + -2] = -2 + -6[6x + -2] Reorder the terms: -2[-4 + x] + -1[3x + -2] = -2 + -6[6x + -2] [-4 * -2 + x * -2] + -1[3x + -2] = -2 + -6[6x + -2] [8 + -2x] + -1[3x + -2] = -2 + -6[6x + -2] Reorder the terms: 8 + -2x + -1[-2 + 3x] = -2 + -6[6x + -2] 8 + -2x + [-2 * -1 + 3x * -1] = -2 + -6[6x + -2] 8 + -2x + [2 + -3x] = -2 + -6[6x + -2] Reorder the terms: 8 + 2 + -2x + -3x = -2 + -6[6x + -2] Combine like terms: 8 + 2 = 10 10 + -2x + -3x = -2 + -6[6x + -2] Combine like terms: -2x + -3x = -5x 10 + -5x = -2 + -6[6x + -2] Reorder the terms: 10 + -5x = -2 + -6[-2 + 6x] 10 + -5x = -2 + [-2 * -6 + 6x * -6] 10 + -5x = -2 + [12 + -36x] Combine like terms: -2 + 12 = 10 10 + -5x = 10 + -36x Add '-10' to each side of the equation. 10 + -10 + -5x = 10 + -10 + -36x Combine like terms: 10 + -10 = 0 0 + -5x = 10 + -10 + -36x -5x = 10 + -10 + -36x Combine like terms: 10 + -10 = 0 -5x = 0 + -36x -5x = -36x Solving -5x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -5x + 36x = -36x + 36x Combine like terms: -5x + 36x = 31x 31x = -36x + 36x Combine like terms: -36x + 36x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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