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Simplifying -1[6x + -1(2x + 5)] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: -1[6x + -1(5 + 2x)] = -4 + -1[4(2x + -4) + -2x] -1[6x + (5 * -1 + 2x * -1)] = -4 + -1[4(2x + -4) + -2x] -1[6x + (-5 + -2x)] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: -1[-5 + 6x + -2x] = -4 + -1[4(2x + -4) + -2x] Combine like terms: 6x + -2x = 4x -1[-5 + 4x] = -4 + -1[4(2x + -4) + -2x] [-5 * -1 + 4x * -1] = -4 + -1[4(2x + -4) + -2x] [5 + -4x] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: 5 + -4x = -4 + -1[4(-4 + 2x) + -2x] 5 + -4x = -4 + -1[(-4 * 4 + 2x * 4) + -2x] 5 + -4x = -4 + -1[(-16 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 5 + -4x = -4 + -1[-16 + 6x] 5 + -4x = -4 + [-16 * -1 + 6x * -1] 5 + -4x = -4 + [16 + -6x] Combine like terms: -4 + 16 = 12 5 + -4x = 12 + -6x Solving 5 + -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. 5 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 5 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 2x = 12 + 0 5 + 2x = 12 Add '-5' to each side of the equation. 5 + -5 + 2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 12 + -5 2x = 12 + -5 Combine like terms: 12 + -5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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