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Simplifying 12(x + 5) = 3(4x + 2) + 54 Reorder the terms: 12(5 + x) = 3(4x + 2) + 54 (5 * 12 + x * 12) = 3(4x + 2) + 54 (60 + 12x) = 3(4x + 2) + 54 Reorder the terms: 60 + 12x = 3(2 + 4x) + 54 60 + 12x = (2 * 3 + 4x * 3) + 54 60 + 12x = (6 + 12x) + 54 Reorder the terms: 60 + 12x = 6 + 54 + 12x Combine like terms: 6 + 54 = 60 60 + 12x = 60 + 12x Add '-60' to each side of the equation. 60 + -60 + 12x = 60 + -60 + 12x Combine like terms: 60 + -60 = 0 0 + 12x = 60 + -60 + 12x 12x = 60 + -60 + 12x Combine like terms: 60 + -60 = 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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