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Simplifying -1[4x + -1(2x + 2)] = -3 + -1[4(2x + -4) + -4x] Reorder the terms: -1[4x + -1(2 + 2x)] = -3 + -1[4(2x + -4) + -4x] -1[4x + (2 * -1 + 2x * -1)] = -3 + -1[4(2x + -4) + -4x] -1[4x + (-2 + -2x)] = -3 + -1[4(2x + -4) + -4x] Reorder the terms: -1[-2 + 4x + -2x] = -3 + -1[4(2x + -4) + -4x] Combine like terms: 4x + -2x = 2x -1[-2 + 2x] = -3 + -1[4(2x + -4) + -4x] [-2 * -1 + 2x * -1] = -3 + -1[4(2x + -4) + -4x] [2 + -2x] = -3 + -1[4(2x + -4) + -4x] Reorder the terms: 2 + -2x = -3 + -1[4(-4 + 2x) + -4x] 2 + -2x = -3 + -1[(-4 * 4 + 2x * 4) + -4x] 2 + -2x = -3 + -1[(-16 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 2 + -2x = -3 + -1[-16 + 4x] 2 + -2x = -3 + [-16 * -1 + 4x * -1] 2 + -2x = -3 + [16 + -4x] Combine like terms: -3 + 16 = 13 2 + -2x = 13 + -4x Solving 2 + -2x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -2x + 4x = 13 + -4x + 4x Combine like terms: -2x + 4x = 2x 2 + 2x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 2x = 13 + 0 2 + 2x = 13 Add '-2' to each side of the equation. 2 + -2 + 2x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 13 + -2 2x = 13 + -2 Combine like terms: 13 + -2 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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