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Simplifying 8[7 + -1(-4x + -7)] = 128 + 280 Reorder the terms: 8[7 + -1(-7 + -4x)] = 128 + 280 8[7 + (-7 * -1 + -4x * -1)] = 128 + 280 8[7 + (7 + 4x)] = 128 + 280 Combine like terms: 7 + 7 = 14 8[14 + 4x] = 128 + 280 [14 * 8 + 4x * 8] = 128 + 280 [112 + 32x] = 128 + 280 Combine like terms: 128 + 280 = 408 112 + 32x = 408 Solving 112 + 32x = 408 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 32x = 408 + -112 Combine like terms: 112 + -112 = 0 0 + 32x = 408 + -112 32x = 408 + -112 Combine like terms: 408 + -112 = 296 32x = 296 Divide each side by '32'. x = 9.25 Simplifying x = 9.25
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