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Simplifying 4x + -1[3x + 5 + -8(1 + -2x)] = 4(5x + 2) 4x + -1[3x + 5 + (1 * -8 + -2x * -8)] = 4(5x + 2) 4x + -1[3x + 5 + (-8 + 16x)] = 4(5x + 2) Reorder the terms: 4x + -1[5 + -8 + 3x + 16x] = 4(5x + 2) Combine like terms: 5 + -8 = -3 4x + -1[-3 + 3x + 16x] = 4(5x + 2) Combine like terms: 3x + 16x = 19x 4x + -1[-3 + 19x] = 4(5x + 2) 4x + [-3 * -1 + 19x * -1] = 4(5x + 2) 4x + [3 + -19x] = 4(5x + 2) Reorder the terms: 3 + 4x + -19x = 4(5x + 2) Combine like terms: 4x + -19x = -15x 3 + -15x = 4(5x + 2) Reorder the terms: 3 + -15x = 4(2 + 5x) 3 + -15x = (2 * 4 + 5x * 4) 3 + -15x = (8 + 20x) Solving 3 + -15x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 3 + -15x + -20x = 8 + 20x + -20x Combine like terms: -15x + -20x = -35x 3 + -35x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + -35x = 8 + 0 3 + -35x = 8 Add '-3' to each side of the equation. 3 + -3 + -35x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -35x = 8 + -3 -35x = 8 + -3 Combine like terms: 8 + -3 = 5 -35x = 5 Divide each side by '-35'. x = -0.1428571429 Simplifying x = -0.1428571429
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