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Simplifying 2(6(x + 2)) = 3(4x + 5) + 9 Reorder the terms: 2(6(2 + x)) = 3(4x + 5) + 9 2((2 * 6 + x * 6)) = 3(4x + 5) + 9 2((12 + 6x)) = 3(4x + 5) + 9 (12 * 2 + 6x * 2) = 3(4x + 5) + 9 (24 + 12x) = 3(4x + 5) + 9 Reorder the terms: 24 + 12x = 3(5 + 4x) + 9 24 + 12x = (5 * 3 + 4x * 3) + 9 24 + 12x = (15 + 12x) + 9 Reorder the terms: 24 + 12x = 15 + 9 + 12x Combine like terms: 15 + 9 = 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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