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Simplifying 13(x + 13) = 11(11 + 20) Reorder the terms: 13(13 + x) = 11(11 + 20) (13 * 13 + x * 13) = 11(11 + 20) (169 + 13x) = 11(11 + 20) Combine like terms: 11 + 20 = 31 169 + 13x = 11(31) Multiply 11 * 31 169 + 13x = 341 Solving 169 + 13x = 341 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + 13x = 341 + -169 Combine like terms: 169 + -169 = 0 0 + 13x = 341 + -169 13x = 341 + -169 Combine like terms: 341 + -169 = 172 13x = 172 Divide each side by '13'. x = 13.23076923 Simplifying x = 13.23076923
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