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Simplifying 14x + 31 = 7x + 52 Reorder the terms: 31 + 14x = 7x + 52 Reorder the terms: 31 + 14x = 52 + 7x Solving 31 + 14x = 52 + 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. 31 + 14x + -7x = 52 + 7x + -7x Combine like terms: 14x + -7x = 7x 31 + 7x = 52 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + 7x = 52 + 0 31 + 7x = 52 Add '-31' to each side of the equation. 31 + -31 + 7x = 52 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 52 + -31 7x = 52 + -31 Combine like terms: 52 + -31 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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