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Simplifying 8[1 + -1(-3x + -2)] = 120x + 88 Reorder the terms: 8[1 + -1(-2 + -3x)] = 120x + 88 8[1 + (-2 * -1 + -3x * -1)] = 120x + 88 8[1 + (2 + 3x)] = 120x + 88 Combine like terms: 1 + 2 = 3 8[3 + 3x] = 120x + 88 [3 * 8 + 3x * 8] = 120x + 88 [24 + 24x] = 120x + 88 Reorder the terms: 24 + 24x = 88 + 120x Solving 24 + 24x = 88 + 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. 24 + 24x + -120x = 88 + 120x + -120x Combine like terms: 24x + -120x = -96x 24 + -96x = 88 + 120x + -120x Combine like terms: 120x + -120x = 0 24 + -96x = 88 + 0 24 + -96x = 88 Add '-24' to each side of the equation. 24 + -24 + -96x = 88 + -24 Combine like terms: 24 + -24 = 0 0 + -96x = 88 + -24 -96x = 88 + -24 Combine like terms: 88 + -24 = 64 -96x = 64 Divide each side by '-96'. x = -0.6666666667 Simplifying x = -0.6666666667
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