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Simplifying 19x + 2(x + 1) = 21(x + 1) + -19 Reorder the terms: 19x + 2(1 + x) = 21(x + 1) + -19 19x + (1 * 2 + x * 2) = 21(x + 1) + -19 19x + (2 + 2x) = 21(x + 1) + -19 Reorder the terms: 2 + 19x + 2x = 21(x + 1) + -19 Combine like terms: 19x + 2x = 21x 2 + 21x = 21(x + 1) + -19 Reorder the terms: 2 + 21x = 21(1 + x) + -19 2 + 21x = (1 * 21 + x * 21) + -19 2 + 21x = (21 + 21x) + -19 Reorder the terms: 2 + 21x = 21 + -19 + 21x Combine like terms: 21 + -19 = 2 2 + 21x = 2 + 21x Add '-2' to each side of the equation. 2 + -2 + 21x = 2 + -2 + 21x Combine like terms: 2 + -2 = 0 0 + 21x = 2 + -2 + 21x 21x = 2 + -2 + 21x Combine like terms: 2 + -2 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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