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Simplifying 2[1 + -1(-8x + -9)] = 112x + 128 Reorder the terms: 2[1 + -1(-9 + -8x)] = 112x + 128 2[1 + (-9 * -1 + -8x * -1)] = 112x + 128 2[1 + (9 + 8x)] = 112x + 128 Combine like terms: 1 + 9 = 10 2[10 + 8x] = 112x + 128 [10 * 2 + 8x * 2] = 112x + 128 [20 + 16x] = 112x + 128 Reorder the terms: 20 + 16x = 128 + 112x Solving 20 + 16x = 128 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 20 + 16x + -112x = 128 + 112x + -112x Combine like terms: 16x + -112x = -96x 20 + -96x = 128 + 112x + -112x Combine like terms: 112x + -112x = 0 20 + -96x = 128 + 0 20 + -96x = 128 Add '-20' to each side of the equation. 20 + -20 + -96x = 128 + -20 Combine like terms: 20 + -20 = 0 0 + -96x = 128 + -20 -96x = 128 + -20 Combine like terms: 128 + -20 = 108 -96x = 108 Divide each side by '-96'. x = -1.125 Simplifying x = -1.125
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