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Simplifying 2x + 31 = 11x + -77 Reorder the terms: 31 + 2x = 11x + -77 Reorder the terms: 31 + 2x = -77 + 11x Solving 31 + 2x = -77 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 31 + 2x + -11x = -77 + 11x + -11x Combine like terms: 2x + -11x = -9x 31 + -9x = -77 + 11x + -11x Combine like terms: 11x + -11x = 0 31 + -9x = -77 + 0 31 + -9x = -77 Add '-31' to each side of the equation. 31 + -31 + -9x = -77 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = -77 + -31 -9x = -77 + -31 Combine like terms: -77 + -31 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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