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Simplifying 8[4 + -1(3x + -5)] = 120x + 232 Reorder the terms: 8[4 + -1(-5 + 3x)] = 120x + 232 8[4 + (-5 * -1 + 3x * -1)] = 120x + 232 8[4 + (5 + -3x)] = 120x + 232 Combine like terms: 4 + 5 = 9 8[9 + -3x] = 120x + 232 [9 * 8 + -3x * 8] = 120x + 232 [72 + -24x] = 120x + 232 Reorder the terms: 72 + -24x = 232 + 120x Solving 72 + -24x = 232 + 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 + -24x + -120x = 232 + 120x + -120x Combine like terms: -24x + -120x = -144x 72 + -144x = 232 + 120x + -120x Combine like terms: 120x + -120x = 0 72 + -144x = 232 + 0 72 + -144x = 232 Add '-72' to each side of the equation. 72 + -72 + -144x = 232 + -72 Combine like terms: 72 + -72 = 0 0 + -144x = 232 + -72 -144x = 232 + -72 Combine like terms: 232 + -72 = 160 -144x = 160 Divide each side by '-144'. x = -1.111111111 Simplifying x = -1.111111111
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