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Simplifying 13x + 9 = 11x + 13 Reorder the terms: 9 + 13x = 11x + 13 Reorder the terms: 9 + 13x = 13 + 11x Solving 9 + 13x = 13 + 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. 9 + 13x + -11x = 13 + 11x + -11x Combine like terms: 13x + -11x = 2x 9 + 2x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + 2x = 13 + 0 9 + 2x = 13 Add '-9' to each side of the equation. 9 + -9 + 2x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 13 + -9 2x = 13 + -9 Combine like terms: 13 + -9 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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