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Simplifying -1[6x + -1(2x + 8)] = -5 + -1[4(2x + -4) + -2] Reorder the terms: -1[6x + -1(8 + 2x)] = -5 + -1[4(2x + -4) + -2] -1[6x + (8 * -1 + 2x * -1)] = -5 + -1[4(2x + -4) + -2] -1[6x + (-8 + -2x)] = -5 + -1[4(2x + -4) + -2] Reorder the terms: -1[-8 + 6x + -2x] = -5 + -1[4(2x + -4) + -2] Combine like terms: 6x + -2x = 4x -1[-8 + 4x] = -5 + -1[4(2x + -4) + -2] [-8 * -1 + 4x * -1] = -5 + -1[4(2x + -4) + -2] [8 + -4x] = -5 + -1[4(2x + -4) + -2] Reorder the terms: 8 + -4x = -5 + -1[4(-4 + 2x) + -2] 8 + -4x = -5 + -1[(-4 * 4 + 2x * 4) + -2] 8 + -4x = -5 + -1[(-16 + 8x) + -2] Reorder the terms: 8 + -4x = -5 + -1[-16 + -2 + 8x] Combine like terms: -16 + -2 = -18 8 + -4x = -5 + -1[-18 + 8x] 8 + -4x = -5 + [-18 * -1 + 8x * -1] 8 + -4x = -5 + [18 + -8x] Combine like terms: -5 + 18 = 13 8 + -4x = 13 + -8x Solving 8 + -4x = 13 + -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. 8 + -4x + 8x = 13 + -8x + 8x Combine like terms: -4x + 8x = 4x 8 + 4x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 4x = 13 + 0 8 + 4x = 13 Add '-8' to each side of the equation. 8 + -8 + 4x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 13 + -8 4x = 13 + -8 Combine like terms: 13 + -8 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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