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Simplifying 8[4 + -1(-5x + -5)] = 120x + 152 Reorder the terms: 8[4 + -1(-5 + -5x)] = 120x + 152 8[4 + (-5 * -1 + -5x * -1)] = 120x + 152 8[4 + (5 + 5x)] = 120x + 152 Combine like terms: 4 + 5 = 9 8[9 + 5x] = 120x + 152 [9 * 8 + 5x * 8] = 120x + 152 [72 + 40x] = 120x + 152 Reorder the terms: 72 + 40x = 152 + 120x Solving 72 + 40x = 152 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 72 + 40x + -120x = 152 + 120x + -120x Combine like terms: 40x + -120x = -80x 72 + -80x = 152 + 120x + -120x Combine like terms: 120x + -120x = 0 72 + -80x = 152 + 0 72 + -80x = 152 Add '-72' to each side of the equation. 72 + -72 + -80x = 152 + -72 Combine like terms: 72 + -72 = 0 0 + -80x = 152 + -72 -80x = 152 + -72 Combine like terms: 152 + -72 = 80 -80x = 80 Divide each side by '-80'. x = -1 Simplifying x = -1
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