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Simplifying 6(x + 4) = 3(2x + 2) + 18 Reorder the terms: 6(4 + x) = 3(2x + 2) + 18 (4 * 6 + x * 6) = 3(2x + 2) + 18 (24 + 6x) = 3(2x + 2) + 18 Reorder the terms: 24 + 6x = 3(2 + 2x) + 18 24 + 6x = (2 * 3 + 2x * 3) + 18 24 + 6x = (6 + 6x) + 18 Reorder the terms: 24 + 6x = 6 + 18 + 6x Combine like terms: 6 + 18 = 24 24 + 6x = 24 + 6x Add '-24' to each side of the equation. 24 + -24 + 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 0 + 6x = 24 + -24 + 6x 6x = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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