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Simplifying 12x + 3 = 5x + 31 Reorder the terms: 3 + 12x = 5x + 31 Reorder the terms: 3 + 12x = 31 + 5x Solving 3 + 12x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 12x + -5x = 31 + 5x + -5x Combine like terms: 12x + -5x = 7x 3 + 7x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 7x = 31 + 0 3 + 7x = 31 Add '-3' to each side of the equation. 3 + -3 + 7x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 31 + -3 7x = 31 + -3 Combine like terms: 31 + -3 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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