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Simplifying -1[3x + -1(2x + -5)] = -4 + -1[3(2x + 4) + -3x] Reorder the terms: -1[3x + -1(-5 + 2x)] = -4 + -1[3(2x + 4) + -3x] -1[3x + (-5 * -1 + 2x * -1)] = -4 + -1[3(2x + 4) + -3x] -1[3x + (5 + -2x)] = -4 + -1[3(2x + 4) + -3x] Reorder the terms: -1[5 + 3x + -2x] = -4 + -1[3(2x + 4) + -3x] Combine like terms: 3x + -2x = 1x -1[5 + 1x] = -4 + -1[3(2x + 4) + -3x] [5 * -1 + 1x * -1] = -4 + -1[3(2x + 4) + -3x] [-5 + -1x] = -4 + -1[3(2x + 4) + -3x] Reorder the terms: -5 + -1x = -4 + -1[3(4 + 2x) + -3x] -5 + -1x = -4 + -1[(4 * 3 + 2x * 3) + -3x] -5 + -1x = -4 + -1[(12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x -5 + -1x = -4 + -1[12 + 3x] -5 + -1x = -4 + [12 * -1 + 3x * -1] -5 + -1x = -4 + [-12 + -3x] Combine like terms: -4 + -12 = -16 -5 + -1x = -16 + -3x Solving -5 + -1x = -16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -1x + 3x = -16 + -3x + 3x Combine like terms: -1x + 3x = 2x -5 + 2x = -16 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 2x = -16 + 0 -5 + 2x = -16 Add '5' to each side of the equation. -5 + 5 + 2x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -16 + 5 2x = -16 + 5 Combine like terms: -16 + 5 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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