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Simplifying 2(x + 12) = 2(x + 9) + 6 Reorder the terms: 2(12 + x) = 2(x + 9) + 6 (12 * 2 + x * 2) = 2(x + 9) + 6 (24 + 2x) = 2(x + 9) + 6 Reorder the terms: 24 + 2x = 2(9 + x) + 6 24 + 2x = (9 * 2 + x * 2) + 6 24 + 2x = (18 + 2x) + 6 Reorder the terms: 24 + 2x = 18 + 6 + 2x Combine like terms: 18 + 6 = 24 24 + 2x = 24 + 2x Add '-24' to each side of the equation. 24 + -24 + 2x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 0 + 2x = 24 + -24 + 2x 2x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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