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Simplifying 12(x + 2) = 3(4x + 1) + 21 Reorder the terms: 12(2 + x) = 3(4x + 1) + 21 (2 * 12 + x * 12) = 3(4x + 1) + 21 (24 + 12x) = 3(4x + 1) + 21 Reorder the terms: 24 + 12x = 3(1 + 4x) + 21 24 + 12x = (1 * 3 + 4x * 3) + 21 24 + 12x = (3 + 12x) + 21 Reorder the terms: 24 + 12x = 3 + 21 + 12x Combine like terms: 3 + 21 = 24 24 + 12x = 24 + 12x Add '-24' to each side of the equation. 24 + -24 + 12x = 24 + -24 + 12x Combine like terms: 24 + -24 = 0 0 + 12x = 24 + -24 + 12x 12x = 24 + -24 + 12x Combine like terms: 24 + -24 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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