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Simplifying (1 + x)(30) = (2 + x)(26) Reorder the terms for easier multiplication: 30(1 + x) = (2 + x)(26) (1 * 30 + x * 30) = (2 + x)(26) (30 + 30x) = (2 + x)(26) Reorder the terms for easier multiplication: 30 + 30x = 26(2 + x) 30 + 30x = (2 * 26 + x * 26) 30 + 30x = (52 + 26x) Solving 30 + 30x = 52 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 30 + 30x + -26x = 52 + 26x + -26x Combine like terms: 30x + -26x = 4x 30 + 4x = 52 + 26x + -26x Combine like terms: 26x + -26x = 0 30 + 4x = 52 + 0 30 + 4x = 52 Add '-30' to each side of the equation. 30 + -30 + 4x = 52 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 52 + -30 4x = 52 + -30 Combine like terms: 52 + -30 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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