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Simplifying (1 + x)(60) = (2 + x)(52) Reorder the terms for easier multiplication: 60(1 + x) = (2 + x)(52) (1 * 60 + x * 60) = (2 + x)(52) (60 + 60x) = (2 + x)(52) Reorder the terms for easier multiplication: 60 + 60x = 52(2 + x) 60 + 60x = (2 * 52 + x * 52) 60 + 60x = (104 + 52x) Solving 60 + 60x = 104 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 60 + 60x + -52x = 104 + 52x + -52x Combine like terms: 60x + -52x = 8x 60 + 8x = 104 + 52x + -52x Combine like terms: 52x + -52x = 0 60 + 8x = 104 + 0 60 + 8x = 104 Add '-60' to each side of the equation. 60 + -60 + 8x = 104 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = 104 + -60 8x = 104 + -60 Combine like terms: 104 + -60 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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