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Simplifying 31 = 2x + (2x + -1) Reorder the terms: 31 = 2x + (-1 + 2x) Remove parenthesis around (-1 + 2x) 31 = 2x + -1 + 2x Reorder the terms: 31 = -1 + 2x + 2x Combine like terms: 2x + 2x = 4x 31 = -1 + 4x Solving 31 = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 31 + -4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -4x = -1 + 0 31 + -4x = -1 Add '-31' to each side of the equation. 31 + -31 + -4x = -1 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = -1 + -31 -4x = -1 + -31 Combine like terms: -1 + -31 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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