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Simplifying 18(x + 3) = 6(3x + 2) + 42 Reorder the terms: 18(3 + x) = 6(3x + 2) + 42 (3 * 18 + x * 18) = 6(3x + 2) + 42 (54 + 18x) = 6(3x + 2) + 42 Reorder the terms: 54 + 18x = 6(2 + 3x) + 42 54 + 18x = (2 * 6 + 3x * 6) + 42 54 + 18x = (12 + 18x) + 42 Reorder the terms: 54 + 18x = 12 + 42 + 18x Combine like terms: 12 + 42 = 54 54 + 18x = 54 + 18x Add '-54' to each side of the equation. 54 + -54 + 18x = 54 + -54 + 18x Combine like terms: 54 + -54 = 0 0 + 18x = 54 + -54 + 18x 18x = 54 + -54 + 18x Combine like terms: 54 + -54 = 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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