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Simplifying 12x + -14 = 7x + 31 Reorder the terms: -14 + 12x = 7x + 31 Reorder the terms: -14 + 12x = 31 + 7x Solving -14 + 12x = 31 + 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. -14 + 12x + -7x = 31 + 7x + -7x Combine like terms: 12x + -7x = 5x -14 + 5x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 5x = 31 + 0 -14 + 5x = 31 Add '14' to each side of the equation. -14 + 14 + 5x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 31 + 14 5x = 31 + 14 Combine like terms: 31 + 14 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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