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Simplifying 13(x + 7) = 11(x + 9) Reorder the terms: 13(7 + x) = 11(x + 9) (7 * 13 + x * 13) = 11(x + 9) (91 + 13x) = 11(x + 9) Reorder the terms: 91 + 13x = 11(9 + x) 91 + 13x = (9 * 11 + x * 11) 91 + 13x = (99 + 11x) Solving 91 + 13x = 99 + 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. 91 + 13x + -11x = 99 + 11x + -11x Combine like terms: 13x + -11x = 2x 91 + 2x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 91 + 2x = 99 + 0 91 + 2x = 99 Add '-91' to each side of the equation. 91 + -91 + 2x = 99 + -91 Combine like terms: 91 + -91 = 0 0 + 2x = 99 + -91 2x = 99 + -91 Combine like terms: 99 + -91 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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