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Simplifying 21x + 10(x + 1) = 31(x + 1) + -21 Reorder the terms: 21x + 10(1 + x) = 31(x + 1) + -21 21x + (1 * 10 + x * 10) = 31(x + 1) + -21 21x + (10 + 10x) = 31(x + 1) + -21 Reorder the terms: 10 + 21x + 10x = 31(x + 1) + -21 Combine like terms: 21x + 10x = 31x 10 + 31x = 31(x + 1) + -21 Reorder the terms: 10 + 31x = 31(1 + x) + -21 10 + 31x = (1 * 31 + x * 31) + -21 10 + 31x = (31 + 31x) + -21 Reorder the terms: 10 + 31x = 31 + -21 + 31x Combine like terms: 31 + -21 = 10 10 + 31x = 10 + 31x Add '-10' to each side of the equation. 10 + -10 + 31x = 10 + -10 + 31x Combine like terms: 10 + -10 = 0 0 + 31x = 10 + -10 + 31x 31x = 10 + -10 + 31x Combine like terms: 10 + -10 = 0 31x = 0 + 31x 31x = 31x Add '-31x' to each side of the equation. 31x + -31x = 31x + -31x Combine like terms: 31x + -31x = 0 0 = 31x + -31x Combine like terms: 31x + -31x = 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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