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Simplifying 26x + 9(x + 1) = 35(x + 1) + -26 Reorder the terms: 26x + 9(1 + x) = 35(x + 1) + -26 26x + (1 * 9 + x * 9) = 35(x + 1) + -26 26x + (9 + 9x) = 35(x + 1) + -26 Reorder the terms: 9 + 26x + 9x = 35(x + 1) + -26 Combine like terms: 26x + 9x = 35x 9 + 35x = 35(x + 1) + -26 Reorder the terms: 9 + 35x = 35(1 + x) + -26 9 + 35x = (1 * 35 + x * 35) + -26 9 + 35x = (35 + 35x) + -26 Reorder the terms: 9 + 35x = 35 + -26 + 35x Combine like terms: 35 + -26 = 9 9 + 35x = 9 + 35x Add '-9' to each side of the equation. 9 + -9 + 35x = 9 + -9 + 35x Combine like terms: 9 + -9 = 0 0 + 35x = 9 + -9 + 35x 35x = 9 + -9 + 35x Combine like terms: 9 + -9 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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