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Simplifying 270 = 12x + (2x + 5) + (17x + -14) Reorder the terms: 270 = 12x + (5 + 2x) + (17x + -14) Remove parenthesis around (5 + 2x) 270 = 12x + 5 + 2x + (17x + -14) Reorder the terms: 270 = 12x + 5 + 2x + (-14 + 17x) Remove parenthesis around (-14 + 17x) 270 = 12x + 5 + 2x + -14 + 17x Reorder the terms: 270 = 5 + -14 + 12x + 2x + 17x Combine like terms: 5 + -14 = -9 270 = -9 + 12x + 2x + 17x Combine like terms: 12x + 2x = 14x 270 = -9 + 14x + 17x Combine like terms: 14x + 17x = 31x 270 = -9 + 31x Solving 270 = -9 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 270 + -31x = -9 + 31x + -31x Combine like terms: 31x + -31x = 0 270 + -31x = -9 + 0 270 + -31x = -9 Add '-270' to each side of the equation. 270 + -270 + -31x = -9 + -270 Combine like terms: 270 + -270 = 0 0 + -31x = -9 + -270 -31x = -9 + -270 Combine like terms: -9 + -270 = -279 -31x = -279 Divide each side by '-31'. x = 9 Simplifying x = 9
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