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