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Simplifying 8[5 + -1(-2x + -5)] = 112x + 320 Reorder the terms: 8[5 + -1(-5 + -2x)] = 112x + 320 8[5 + (-5 * -1 + -2x * -1)] = 112x + 320 8[5 + (5 + 2x)] = 112x + 320 Combine like terms: 5 + 5 = 10 8[10 + 2x] = 112x + 320 [10 * 8 + 2x * 8] = 112x + 320 [80 + 16x] = 112x + 320 Reorder the terms: 80 + 16x = 320 + 112x Solving 80 + 16x = 320 + 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. 80 + 16x + -112x = 320 + 112x + -112x Combine like terms: 16x + -112x = -96x 80 + -96x = 320 + 112x + -112x Combine like terms: 112x + -112x = 0 80 + -96x = 320 + 0 80 + -96x = 320 Add '-80' to each side of the equation. 80 + -80 + -96x = 320 + -80 Combine like terms: 80 + -80 = 0 0 + -96x = 320 + -80 -96x = 320 + -80 Combine like terms: 320 + -80 = 240 -96x = 240 Divide each side by '-96'. x = -2.5 Simplifying x = -2.5
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