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Simplifying 31x + -24(17x + -14) = -17(12 + 21x) Reorder the terms: 31x + -24(-14 + 17x) = -17(12 + 21x) 31x + (-14 * -24 + 17x * -24) = -17(12 + 21x) 31x + (336 + -408x) = -17(12 + 21x) Reorder the terms: 336 + 31x + -408x = -17(12 + 21x) Combine like terms: 31x + -408x = -377x 336 + -377x = -17(12 + 21x) 336 + -377x = (12 * -17 + 21x * -17) 336 + -377x = (-204 + -357x) Solving 336 + -377x = -204 + -357x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '357x' to each side of the equation. 336 + -377x + 357x = -204 + -357x + 357x Combine like terms: -377x + 357x = -20x 336 + -20x = -204 + -357x + 357x Combine like terms: -357x + 357x = 0 336 + -20x = -204 + 0 336 + -20x = -204 Add '-336' to each side of the equation. 336 + -336 + -20x = -204 + -336 Combine like terms: 336 + -336 = 0 0 + -20x = -204 + -336 -20x = -204 + -336 Combine like terms: -204 + -336 = -540 -20x = -540 Divide each side by '-20'. x = 27 Simplifying x = 27
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