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Simplifying 140 = 31x + -1(17x + 84) Reorder the terms: 140 = 31x + -1(84 + 17x) 140 = 31x + (84 * -1 + 17x * -1) 140 = 31x + (-84 + -17x) Reorder the terms: 140 = -84 + 31x + -17x Combine like terms: 31x + -17x = 14x 140 = -84 + 14x Solving 140 = -84 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 140 + -14x = -84 + 14x + -14x Combine like terms: 14x + -14x = 0 140 + -14x = -84 + 0 140 + -14x = -84 Add '-140' to each side of the equation. 140 + -140 + -14x = -84 + -140 Combine like terms: 140 + -140 = 0 0 + -14x = -84 + -140 -14x = -84 + -140 Combine like terms: -84 + -140 = -224 -14x = -224 Divide each side by '-14'. x = 16 Simplifying x = 16
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