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Simplifying -1[4x + -1(2x + 1)] = -8 + -1[4(2x + -5) + -4x] Reorder the terms: -1[4x + -1(1 + 2x)] = -8 + -1[4(2x + -5) + -4x] -1[4x + (1 * -1 + 2x * -1)] = -8 + -1[4(2x + -5) + -4x] -1[4x + (-1 + -2x)] = -8 + -1[4(2x + -5) + -4x] Reorder the terms: -1[-1 + 4x + -2x] = -8 + -1[4(2x + -5) + -4x] Combine like terms: 4x + -2x = 2x -1[-1 + 2x] = -8 + -1[4(2x + -5) + -4x] [-1 * -1 + 2x * -1] = -8 + -1[4(2x + -5) + -4x] [1 + -2x] = -8 + -1[4(2x + -5) + -4x] Reorder the terms: 1 + -2x = -8 + -1[4(-5 + 2x) + -4x] 1 + -2x = -8 + -1[(-5 * 4 + 2x * 4) + -4x] 1 + -2x = -8 + -1[(-20 + 8x) + -4x] Combine like terms: 8x + -4x = 4x 1 + -2x = -8 + -1[-20 + 4x] 1 + -2x = -8 + [-20 * -1 + 4x * -1] 1 + -2x = -8 + [20 + -4x] Combine like terms: -8 + 20 = 12 1 + -2x = 12 + -4x Solving 1 + -2x = 12 + -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. 1 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 1 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 2x = 12 + 0 1 + 2x = 12 Add '-1' to each side of the equation. 1 + -1 + 2x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 12 + -1 2x = 12 + -1 Combine like terms: 12 + -1 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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