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Simplifying 21x + 9(x + 1) = 30(x + 1) + -21 Reorder the terms: 21x + 9(1 + x) = 30(x + 1) + -21 21x + (1 * 9 + x * 9) = 30(x + 1) + -21 21x + (9 + 9x) = 30(x + 1) + -21 Reorder the terms: 9 + 21x + 9x = 30(x + 1) + -21 Combine like terms: 21x + 9x = 30x 9 + 30x = 30(x + 1) + -21 Reorder the terms: 9 + 30x = 30(1 + x) + -21 9 + 30x = (1 * 30 + x * 30) + -21 9 + 30x = (30 + 30x) + -21 Reorder the terms: 9 + 30x = 30 + -21 + 30x Combine like terms: 30 + -21 = 9 9 + 30x = 9 + 30x Add '-9' to each side of the equation. 9 + -9 + 30x = 9 + -9 + 30x Combine like terms: 9 + -9 = 0 0 + 30x = 9 + -9 + 30x 30x = 9 + -9 + 30x Combine like terms: 9 + -9 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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