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Simplifying 6(x + 1) = 3(2x + 8) + -18 Reorder the terms: 6(1 + x) = 3(2x + 8) + -18 (1 * 6 + x * 6) = 3(2x + 8) + -18 (6 + 6x) = 3(2x + 8) + -18 Reorder the terms: 6 + 6x = 3(8 + 2x) + -18 6 + 6x = (8 * 3 + 2x * 3) + -18 6 + 6x = (24 + 6x) + -18 Reorder the terms: 6 + 6x = 24 + -18 + 6x Combine like terms: 24 + -18 = 6 6 + 6x = 6 + 6x Add '-6' to each side of the equation. 6 + -6 + 6x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + 6x = 6 + -6 + 6x 6x = 6 + -6 + 6x Combine like terms: 6 + -6 = 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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