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Simplifying 3x + 31 = 4(2 + -5x) Reorder the terms: 31 + 3x = 4(2 + -5x) 31 + 3x = (2 * 4 + -5x * 4) 31 + 3x = (8 + -20x) Solving 31 + 3x = 8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 31 + 3x + 20x = 8 + -20x + 20x Combine like terms: 3x + 20x = 23x 31 + 23x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 31 + 23x = 8 + 0 31 + 23x = 8 Add '-31' to each side of the equation. 31 + -31 + 23x = 8 + -31 Combine like terms: 31 + -31 = 0 0 + 23x = 8 + -31 23x = 8 + -31 Combine like terms: 8 + -31 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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