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Simplifying 8[8 + -1(-2x + -7)] = 112x + 456 Reorder the terms: 8[8 + -1(-7 + -2x)] = 112x + 456 8[8 + (-7 * -1 + -2x * -1)] = 112x + 456 8[8 + (7 + 2x)] = 112x + 456 Combine like terms: 8 + 7 = 15 8[15 + 2x] = 112x + 456 [15 * 8 + 2x * 8] = 112x + 456 [120 + 16x] = 112x + 456 Reorder the terms: 120 + 16x = 456 + 112x Solving 120 + 16x = 456 + 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. 120 + 16x + -112x = 456 + 112x + -112x Combine like terms: 16x + -112x = -96x 120 + -96x = 456 + 112x + -112x Combine like terms: 112x + -112x = 0 120 + -96x = 456 + 0 120 + -96x = 456 Add '-120' to each side of the equation. 120 + -120 + -96x = 456 + -120 Combine like terms: 120 + -120 = 0 0 + -96x = 456 + -120 -96x = 456 + -120 Combine like terms: 456 + -120 = 336 -96x = 336 Divide each side by '-96'. x = -3.5 Simplifying x = -3.5
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