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Simplifying 13(x + 13) = 10(10 + 19) Reorder the terms: 13(13 + x) = 10(10 + 19) (13 * 13 + x * 13) = 10(10 + 19) (169 + 13x) = 10(10 + 19) Combine like terms: 10 + 19 = 29 169 + 13x = 10(29) Multiply 10 * 29 169 + 13x = 290 Solving 169 + 13x = 290 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 = 290 + -169 Combine like terms: 169 + -169 = 0 0 + 13x = 290 + -169 13x = 290 + -169 Combine like terms: 290 + -169 = 121 13x = 121 Divide each side by '13'. x = 9.307692308 Simplifying x = 9.307692308
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