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Simplifying 4[2(5 + -2x) + 8] = -5(3x + 1) 4[(5 * 2 + -2x * 2) + 8] = -5(3x + 1) 4[(10 + -4x) + 8] = -5(3x + 1) Reorder the terms: 4[10 + 8 + -4x] = -5(3x + 1) Combine like terms: 10 + 8 = 18 4[18 + -4x] = -5(3x + 1) [18 * 4 + -4x * 4] = -5(3x + 1) [72 + -16x] = -5(3x + 1) Reorder the terms: 72 + -16x = -5(1 + 3x) 72 + -16x = (1 * -5 + 3x * -5) 72 + -16x = (-5 + -15x) Solving 72 + -16x = -5 + -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. 72 + -16x + 15x = -5 + -15x + 15x Combine like terms: -16x + 15x = -1x 72 + -1x = -5 + -15x + 15x Combine like terms: -15x + 15x = 0 72 + -1x = -5 + 0 72 + -1x = -5 Add '-72' to each side of the equation. 72 + -72 + -1x = -5 + -72 Combine like terms: 72 + -72 = 0 0 + -1x = -5 + -72 -1x = -5 + -72 Combine like terms: -5 + -72 = -77 -1x = -77 Divide each side by '-1'. x = 77 Simplifying x = 77
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