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Simplifying 6[8 + -1(-2x + -9)] = 80x + 408 Reorder the terms: 6[8 + -1(-9 + -2x)] = 80x + 408 6[8 + (-9 * -1 + -2x * -1)] = 80x + 408 6[8 + (9 + 2x)] = 80x + 408 Combine like terms: 8 + 9 = 17 6[17 + 2x] = 80x + 408 [17 * 6 + 2x * 6] = 80x + 408 [102 + 12x] = 80x + 408 Reorder the terms: 102 + 12x = 408 + 80x Solving 102 + 12x = 408 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 102 + 12x + -80x = 408 + 80x + -80x Combine like terms: 12x + -80x = -68x 102 + -68x = 408 + 80x + -80x Combine like terms: 80x + -80x = 0 102 + -68x = 408 + 0 102 + -68x = 408 Add '-102' to each side of the equation. 102 + -102 + -68x = 408 + -102 Combine like terms: 102 + -102 = 0 0 + -68x = 408 + -102 -68x = 408 + -102 Combine like terms: 408 + -102 = 306 -68x = 306 Divide each side by '-68'. x = -4.5 Simplifying x = -4.5
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