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Simplifying 5x + 31 = 2x + 7 Reorder the terms: 31 + 5x = 2x + 7 Reorder the terms: 31 + 5x = 7 + 2x Solving 31 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 31 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + 3x = 7 + 0 31 + 3x = 7 Add '-31' to each side of the equation. 31 + -31 + 3x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 7 + -31 3x = 7 + -31 Combine like terms: 7 + -31 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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