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Simplifying 6(x + 3) = 2(3x + 5) + 8 Reorder the terms: 6(3 + x) = 2(3x + 5) + 8 (3 * 6 + x * 6) = 2(3x + 5) + 8 (18 + 6x) = 2(3x + 5) + 8 Reorder the terms: 18 + 6x = 2(5 + 3x) + 8 18 + 6x = (5 * 2 + 3x * 2) + 8 18 + 6x = (10 + 6x) + 8 Reorder the terms: 18 + 6x = 10 + 8 + 6x Combine like terms: 10 + 8 = 18 18 + 6x = 18 + 6x Add '-18' to each side of the equation. 18 + -18 + 6x = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 0 + 6x = 18 + -18 + 6x 6x = 18 + -18 + 6x Combine like terms: 18 + -18 = 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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