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Simplifying 12(x + 1) = 6(2x + 1) + 6 Reorder the terms: 12(1 + x) = 6(2x + 1) + 6 (1 * 12 + x * 12) = 6(2x + 1) + 6 (12 + 12x) = 6(2x + 1) + 6 Reorder the terms: 12 + 12x = 6(1 + 2x) + 6 12 + 12x = (1 * 6 + 2x * 6) + 6 12 + 12x = (6 + 12x) + 6 Reorder the terms: 12 + 12x = 6 + 6 + 12x Combine like terms: 6 + 6 = 12 12 + 12x = 12 + 12x Add '-12' to each side of the equation. 12 + -12 + 12x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 0 + 12x = 12 + -12 + 12x 12x = 12 + -12 + 12x Combine like terms: 12 + -12 = 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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