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Simplifying x + 31 = 35 + -2x + 6 Reorder the terms: 31 + x = 35 + -2x + 6 Reorder the terms: 31 + x = 35 + 6 + -2x Combine like terms: 35 + 6 = 41 31 + x = 41 + -2x Solving 31 + x = 41 + -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 + x + 2x = 41 + -2x + 2x Combine like terms: x + 2x = 3x 31 + 3x = 41 + -2x + 2x Combine like terms: -2x + 2x = 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 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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