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Simplifying 8[8 + -1(-3x + -2)] = 120x + 144 Reorder the terms: 8[8 + -1(-2 + -3x)] = 120x + 144 8[8 + (-2 * -1 + -3x * -1)] = 120x + 144 8[8 + (2 + 3x)] = 120x + 144 Combine like terms: 8 + 2 = 10 8[10 + 3x] = 120x + 144 [10 * 8 + 3x * 8] = 120x + 144 [80 + 24x] = 120x + 144 Reorder the terms: 80 + 24x = 144 + 120x Solving 80 + 24x = 144 + 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. 80 + 24x + -120x = 144 + 120x + -120x Combine like terms: 24x + -120x = -96x 80 + -96x = 144 + 120x + -120x Combine like terms: 120x + -120x = 0 80 + -96x = 144 + 0 80 + -96x = 144 Add '-80' to each side of the equation. 80 + -80 + -96x = 144 + -80 Combine like terms: 80 + -80 = 0 0 + -96x = 144 + -80 -96x = 144 + -80 Combine like terms: 144 + -80 = 64 -96x = 64 Divide each side by '-96'. x = -0.6666666667 Simplifying x = -0.6666666667
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