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Simplifying 18(x + 1) = 6(3x + -4) + 42 Reorder the terms: 18(1 + x) = 6(3x + -4) + 42 (1 * 18 + x * 18) = 6(3x + -4) + 42 (18 + 18x) = 6(3x + -4) + 42 Reorder the terms: 18 + 18x = 6(-4 + 3x) + 42 18 + 18x = (-4 * 6 + 3x * 6) + 42 18 + 18x = (-24 + 18x) + 42 Reorder the terms: 18 + 18x = -24 + 42 + 18x Combine like terms: -24 + 42 = 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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