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Simplifying 12x + 14 = 31x + -43 Reorder the terms: 14 + 12x = 31x + -43 Reorder the terms: 14 + 12x = -43 + 31x Solving 14 + 12x = -43 + 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. 14 + 12x + -31x = -43 + 31x + -31x Combine like terms: 12x + -31x = -19x 14 + -19x = -43 + 31x + -31x Combine like terms: 31x + -31x = 0 14 + -19x = -43 + 0 14 + -19x = -43 Add '-14' to each side of the equation. 14 + -14 + -19x = -43 + -14 Combine like terms: 14 + -14 = 0 0 + -19x = -43 + -14 -19x = -43 + -14 Combine like terms: -43 + -14 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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