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Simplifying -31 + 12x = 10x + 67 Reorder the terms: -31 + 12x = 67 + 10x Solving -31 + 12x = 67 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -31 + 12x + -10x = 67 + 10x + -10x Combine like terms: 12x + -10x = 2x -31 + 2x = 67 + 10x + -10x Combine like terms: 10x + -10x = 0 -31 + 2x = 67 + 0 -31 + 2x = 67 Add '31' to each side of the equation. -31 + 31 + 2x = 67 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 67 + 31 2x = 67 + 31 Combine like terms: 67 + 31 = 98 2x = 98 Divide each side by '2'. x = 49 Simplifying x = 49
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