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Simplifying -1[3x + -1(2x + -5)] = -4 + -1[3(2 + -4x) + -3x] Reorder the terms: -1[3x + -1(-5 + 2x)] = -4 + -1[3(2 + -4x) + -3x] -1[3x + (-5 * -1 + 2x * -1)] = -4 + -1[3(2 + -4x) + -3x] -1[3x + (5 + -2x)] = -4 + -1[3(2 + -4x) + -3x] Reorder the terms: -1[5 + 3x + -2x] = -4 + -1[3(2 + -4x) + -3x] Combine like terms: 3x + -2x = 1x -1[5 + 1x] = -4 + -1[3(2 + -4x) + -3x] [5 * -1 + 1x * -1] = -4 + -1[3(2 + -4x) + -3x] [-5 + -1x] = -4 + -1[3(2 + -4x) + -3x] -5 + -1x = -4 + -1[(2 * 3 + -4x * 3) + -3x] -5 + -1x = -4 + -1[(6 + -12x) + -3x] Combine like terms: -12x + -3x = -15x -5 + -1x = -4 + -1[6 + -15x] -5 + -1x = -4 + [6 * -1 + -15x * -1] -5 + -1x = -4 + [-6 + 15x] Combine like terms: -4 + -6 = -10 -5 + -1x = -10 + 15x Solving -5 + -1x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + -1x + -15x = -10 + 15x + -15x Combine like terms: -1x + -15x = -16x -5 + -16x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -16x = -10 + 0 -5 + -16x = -10 Add '5' to each side of the equation. -5 + 5 + -16x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = -10 + 5 -16x = -10 + 5 Combine like terms: -10 + 5 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125
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