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Simplifying 12(x + 3) = 3(4x + 5) + 21 Reorder the terms: 12(3 + x) = 3(4x + 5) + 21 (3 * 12 + x * 12) = 3(4x + 5) + 21 (36 + 12x) = 3(4x + 5) + 21 Reorder the terms: 36 + 12x = 3(5 + 4x) + 21 36 + 12x = (5 * 3 + 4x * 3) + 21 36 + 12x = (15 + 12x) + 21 Reorder the terms: 36 + 12x = 15 + 21 + 12x Combine like terms: 15 + 21 = 36 36 + 12x = 36 + 12x Add '-36' to each side of the equation. 36 + -36 + 12x = 36 + -36 + 12x Combine like terms: 36 + -36 = 0 0 + 12x = 36 + -36 + 12x 12x = 36 + -36 + 12x Combine like terms: 36 + -36 = 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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