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Simplifying 31 + 14x = 12x + 1 Reorder the terms: 31 + 14x = 1 + 12x Solving 31 + 14x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 31 + 14x + -12x = 1 + 12x + -12x Combine like terms: 14x + -12x = 2x 31 + 2x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + 2x = 1 + 0 31 + 2x = 1 Add '-31' to each side of the equation. 31 + -31 + 2x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 1 + -31 2x = 1 + -31 Combine like terms: 1 + -31 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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