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Simplifying 3x + -31 = 2x + 14 Reorder the terms: -31 + 3x = 2x + 14 Reorder the terms: -31 + 3x = 14 + 2x Solving -31 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x -31 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 1x = 14 + 0 -31 + 1x = 14 Add '31' to each side of the equation. -31 + 31 + 1x = 14 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = 14 + 31 1x = 14 + 31 Combine like terms: 14 + 31 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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