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Simplifying 14x + 102 = 31x Reorder the terms: 102 + 14x = 31x Solving 102 + 14x = 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. 102 + 14x + -31x = 31x + -31x Combine like terms: 14x + -31x = -17x 102 + -17x = 31x + -31x Combine like terms: 31x + -31x = 0 102 + -17x = 0 Add '-102' to each side of the equation. 102 + -102 + -17x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -17x = 0 + -102 -17x = 0 + -102 Combine like terms: 0 + -102 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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