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Simplifying 3x + 31 = 2x + 10 Reorder the terms: 31 + 3x = 2x + 10 Reorder the terms: 31 + 3x = 10 + 2x Solving 31 + 3x = 10 + 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 = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 31 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + 1x = 10 + 0 31 + 1x = 10 Add '-31' to each side of the equation. 31 + -31 + 1x = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 10 + -31 1x = 10 + -31 Combine like terms: 10 + -31 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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