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Simplifying 12x + 31 = 5x + 7 Reorder the terms: 31 + 12x = 5x + 7 Reorder the terms: 31 + 12x = 7 + 5x Solving 31 + 12x = 7 + 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. 31 + 12x + -5x = 7 + 5x + -5x Combine like terms: 12x + -5x = 7x 31 + 7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + 7x = 7 + 0 31 + 7x = 7 Add '-31' to each side of the equation. 31 + -31 + 7x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 7 + -31 7x = 7 + -31 Combine like terms: 7 + -31 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429
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