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Simplifying (1 + x)(52) = (2 + x)(44) Reorder the terms for easier multiplication: 52(1 + x) = (2 + x)(44) (1 * 52 + x * 52) = (2 + x)(44) (52 + 52x) = (2 + x)(44) Reorder the terms for easier multiplication: 52 + 52x = 44(2 + x) 52 + 52x = (2 * 44 + x * 44) 52 + 52x = (88 + 44x) Solving 52 + 52x = 88 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 52 + 52x + -44x = 88 + 44x + -44x Combine like terms: 52x + -44x = 8x 52 + 8x = 88 + 44x + -44x Combine like terms: 44x + -44x = 0 52 + 8x = 88 + 0 52 + 8x = 88 Add '-52' to each side of the equation. 52 + -52 + 8x = 88 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 88 + -52 8x = 88 + -52 Combine like terms: 88 + -52 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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