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Simplifying 2x + 31 = 5x + -41 Reorder the terms: 31 + 2x = 5x + -41 Reorder the terms: 31 + 2x = -41 + 5x Solving 31 + 2x = -41 + 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 + 2x + -5x = -41 + 5x + -5x Combine like terms: 2x + -5x = -3x 31 + -3x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -3x = -41 + 0 31 + -3x = -41 Add '-31' to each side of the equation. 31 + -31 + -3x = -41 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = -41 + -31 -3x = -41 + -31 Combine like terms: -41 + -31 = -72 -3x = -72 Divide each side by '-3'. x = 24 Simplifying x = 24
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