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Simplifying -6[-1x + -2] = 8[x + 2] Reorder the terms: -6[-2 + -1x] = 8[x + 2] [-2 * -6 + -1x * -6] = 8[x + 2] [12 + 6x] = 8[x + 2] Reorder the terms: 12 + 6x = 8[2 + x] 12 + 6x = [2 * 8 + x * 8] 12 + 6x = [16 + 8x] Solving 12 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 16 + 0 12 + -2x = 16 Add '-12' to each side of the equation. 12 + -12 + -2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 16 + -12 -2x = 16 + -12 Combine like terms: 16 + -12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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