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Simplifying 52(x + 9) = 13(x + 9) Reorder the terms: 52(9 + x) = 13(x + 9) (9 * 52 + x * 52) = 13(x + 9) (468 + 52x) = 13(x + 9) Reorder the terms: 468 + 52x = 13(9 + x) 468 + 52x = (9 * 13 + x * 13) 468 + 52x = (117 + 13x) Solving 468 + 52x = 117 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 468 + 52x + -13x = 117 + 13x + -13x Combine like terms: 52x + -13x = 39x 468 + 39x = 117 + 13x + -13x Combine like terms: 13x + -13x = 0 468 + 39x = 117 + 0 468 + 39x = 117 Add '-468' to each side of the equation. 468 + -468 + 39x = 117 + -468 Combine like terms: 468 + -468 = 0 0 + 39x = 117 + -468 39x = 117 + -468 Combine like terms: 117 + -468 = -351 39x = -351 Divide each side by '39'. x = -9 Simplifying x = -9
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