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Simplifying 20x + 9(x + 1) = 29(x + 1) + -20 Reorder the terms: 20x + 9(1 + x) = 29(x + 1) + -20 20x + (1 * 9 + x * 9) = 29(x + 1) + -20 20x + (9 + 9x) = 29(x + 1) + -20 Reorder the terms: 9 + 20x + 9x = 29(x + 1) + -20 Combine like terms: 20x + 9x = 29x 9 + 29x = 29(x + 1) + -20 Reorder the terms: 9 + 29x = 29(1 + x) + -20 9 + 29x = (1 * 29 + x * 29) + -20 9 + 29x = (29 + 29x) + -20 Reorder the terms: 9 + 29x = 29 + -20 + 29x Combine like terms: 29 + -20 = 9 9 + 29x = 9 + 29x Add '-9' to each side of the equation. 9 + -9 + 29x = 9 + -9 + 29x Combine like terms: 9 + -9 = 0 0 + 29x = 9 + -9 + 29x 29x = 9 + -9 + 29x Combine like terms: 9 + -9 = 0 29x = 0 + 29x 29x = 29x Add '-29x' to each side of the equation. 29x + -29x = 29x + -29x Combine like terms: 29x + -29x = 0 0 = 29x + -29x Combine like terms: 29x + -29x = 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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