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Simplifying 2x + 31 = 7x + -14 Reorder the terms: 31 + 2x = 7x + -14 Reorder the terms: 31 + 2x = -14 + 7x Solving 31 + 2x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 31 + 2x + -7x = -14 + 7x + -7x Combine like terms: 2x + -7x = -5x 31 + -5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -5x = -14 + 0 31 + -5x = -14 Add '-31' to each side of the equation. 31 + -31 + -5x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = -14 + -31 -5x = -14 + -31 Combine like terms: -14 + -31 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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