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Simplifying 36 + -1[(-2x + -4) + (3x + 20)] = 24 + 4x Reorder the terms: 36 + -1[(-4 + -2x) + (3x + 20)] = 24 + 4x Remove parenthesis around (-4 + -2x) 36 + -1[-4 + -2x + (3x + 20)] = 24 + 4x Reorder the terms: 36 + -1[-4 + -2x + (20 + 3x)] = 24 + 4x Remove parenthesis around (20 + 3x) 36 + -1[-4 + -2x + 20 + 3x] = 24 + 4x Reorder the terms: 36 + -1[-4 + 20 + -2x + 3x] = 24 + 4x Combine like terms: -4 + 20 = 16 36 + -1[16 + -2x + 3x] = 24 + 4x Combine like terms: -2x + 3x = 1x 36 + -1[16 + 1x] = 24 + 4x 36 + [16 * -1 + 1x * -1] = 24 + 4x 36 + [-16 + -1x] = 24 + 4x Combine like terms: 36 + -16 = 20 20 + -1x = 24 + 4x Solving 20 + -1x = 24 + 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. 20 + -1x + -4x = 24 + 4x + -4x Combine like terms: -1x + -4x = -5x 20 + -5x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -5x = 24 + 0 20 + -5x = 24 Add '-20' to each side of the equation. 20 + -20 + -5x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 24 + -20 -5x = 24 + -20 Combine like terms: 24 + -20 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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