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Simplifying 12(x + 2) = 4(3x + 1) + 20 Reorder the terms: 12(2 + x) = 4(3x + 1) + 20 (2 * 12 + x * 12) = 4(3x + 1) + 20 (24 + 12x) = 4(3x + 1) + 20 Reorder the terms: 24 + 12x = 4(1 + 3x) + 20 24 + 12x = (1 * 4 + 3x * 4) + 20 24 + 12x = (4 + 12x) + 20 Reorder the terms: 24 + 12x = 4 + 20 + 12x Combine like terms: 4 + 20 = 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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