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Simplifying 4[8 + -1(-4x + -9)] = 112x + 284 Reorder the terms: 4[8 + -1(-9 + -4x)] = 112x + 284 4[8 + (-9 * -1 + -4x * -1)] = 112x + 284 4[8 + (9 + 4x)] = 112x + 284 Combine like terms: 8 + 9 = 17 4[17 + 4x] = 112x + 284 [17 * 4 + 4x * 4] = 112x + 284 [68 + 16x] = 112x + 284 Reorder the terms: 68 + 16x = 284 + 112x Solving 68 + 16x = 284 + 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. 68 + 16x + -112x = 284 + 112x + -112x Combine like terms: 16x + -112x = -96x 68 + -96x = 284 + 112x + -112x Combine like terms: 112x + -112x = 0 68 + -96x = 284 + 0 68 + -96x = 284 Add '-68' to each side of the equation. 68 + -68 + -96x = 284 + -68 Combine like terms: 68 + -68 = 0 0 + -96x = 284 + -68 -96x = 284 + -68 Combine like terms: 284 + -68 = 216 -96x = 216 Divide each side by '-96'. x = -2.25 Simplifying x = -2.25
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