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Simplifying 31 + 3x = 6 + -2x Solving 31 + 3x = 6 + -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 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x 31 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 5x = 6 + 0 31 + 5x = 6 Add '-31' to each side of the equation. 31 + -31 + 5x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 6 + -31 5x = 6 + -31 Combine like terms: 6 + -31 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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