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Simplifying 4[7 + -1(-8x + -9)] = 128x + 172 Reorder the terms: 4[7 + -1(-9 + -8x)] = 128x + 172 4[7 + (-9 * -1 + -8x * -1)] = 128x + 172 4[7 + (9 + 8x)] = 128x + 172 Combine like terms: 7 + 9 = 16 4[16 + 8x] = 128x + 172 [16 * 4 + 8x * 4] = 128x + 172 [64 + 32x] = 128x + 172 Reorder the terms: 64 + 32x = 172 + 128x Solving 64 + 32x = 172 + 128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128x' to each side of the equation. 64 + 32x + -128x = 172 + 128x + -128x Combine like terms: 32x + -128x = -96x 64 + -96x = 172 + 128x + -128x Combine like terms: 128x + -128x = 0 64 + -96x = 172 + 0 64 + -96x = 172 Add '-64' to each side of the equation. 64 + -64 + -96x = 172 + -64 Combine like terms: 64 + -64 = 0 0 + -96x = 172 + -64 -96x = 172 + -64 Combine like terms: 172 + -64 = 108 -96x = 108 Divide each side by '-96'. x = -1.125 Simplifying x = -1.125
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