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Simplifying 18(x + 1) = 6(3x + 2) + 6 Reorder the terms: 18(1 + x) = 6(3x + 2) + 6 (1 * 18 + x * 18) = 6(3x + 2) + 6 (18 + 18x) = 6(3x + 2) + 6 Reorder the terms: 18 + 18x = 6(2 + 3x) + 6 18 + 18x = (2 * 6 + 3x * 6) + 6 18 + 18x = (12 + 18x) + 6 Reorder the terms: 18 + 18x = 12 + 6 + 18x Combine like terms: 12 + 6 = 18 18 + 18x = 18 + 18x Add '-18' to each side of the equation. 18 + -18 + 18x = 18 + -18 + 18x Combine like terms: 18 + -18 = 0 0 + 18x = 18 + -18 + 18x 18x = 18 + -18 + 18x Combine like terms: 18 + -18 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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