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Simplifying 9x + 31 = 11x + 9 Reorder the terms: 31 + 9x = 11x + 9 Reorder the terms: 31 + 9x = 9 + 11x Solving 31 + 9x = 9 + 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 + 9x + -11x = 9 + 11x + -11x Combine like terms: 9x + -11x = -2x 31 + -2x = 9 + 11x + -11x Combine like terms: 11x + -11x = 0 31 + -2x = 9 + 0 31 + -2x = 9 Add '-31' to each side of the equation. 31 + -31 + -2x = 9 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 9 + -31 -2x = 9 + -31 Combine like terms: 9 + -31 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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