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Simplifying 3[6(x + -1) + 8] + -1[2(3x + -1) + 8] = 0 Reorder the terms: 3[6(-1 + x) + 8] + -1[2(3x + -1) + 8] = 0 3[(-1 * 6 + x * 6) + 8] + -1[2(3x + -1) + 8] = 0 3[(-6 + 6x) + 8] + -1[2(3x + -1) + 8] = 0 Reorder the terms: 3[-6 + 8 + 6x] + -1[2(3x + -1) + 8] = 0 Combine like terms: -6 + 8 = 2 3[2 + 6x] + -1[2(3x + -1) + 8] = 0 [2 * 3 + 6x * 3] + -1[2(3x + -1) + 8] = 0 [6 + 18x] + -1[2(3x + -1) + 8] = 0 Reorder the terms: 6 + 18x + -1[2(-1 + 3x) + 8] = 0 6 + 18x + -1[(-1 * 2 + 3x * 2) + 8] = 0 6 + 18x + -1[(-2 + 6x) + 8] = 0 Reorder the terms: 6 + 18x + -1[-2 + 8 + 6x] = 0 Combine like terms: -2 + 8 = 6 6 + 18x + -1[6 + 6x] = 0 6 + 18x + [6 * -1 + 6x * -1] = 0 6 + 18x + [-6 + -6x] = 0 Reorder the terms: 6 + -6 + 18x + -6x = 0 Combine like terms: 6 + -6 = 0 0 + 18x + -6x = 0 18x + -6x = 0 Combine like terms: 18x + -6x = 12x 12x = 0 Solving 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 0 Simplifying x = 0
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