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Simplifying -2x + 31 = x + 10 Reorder the terms: 31 + -2x = x + 10 Reorder the terms: 31 + -2x = 10 + x Solving 31 + -2x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + -2x + -1x = 10 + x + -1x Combine like terms: -2x + -1x = -3x 31 + -3x = 10 + x + -1x Combine like terms: x + -1x = 0 31 + -3x = 10 + 0 31 + -3x = 10 Add '-31' to each side of the equation. 31 + -31 + -3x = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 10 + -31 -3x = 10 + -31 Combine like terms: 10 + -31 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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