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Simplifying 2(3x + 8) = 6(x + 3) + -2 Reorder the terms: 2(8 + 3x) = 6(x + 3) + -2 (8 * 2 + 3x * 2) = 6(x + 3) + -2 (16 + 6x) = 6(x + 3) + -2 Reorder the terms: 16 + 6x = 6(3 + x) + -2 16 + 6x = (3 * 6 + x * 6) + -2 16 + 6x = (18 + 6x) + -2 Reorder the terms: 16 + 6x = 18 + -2 + 6x Combine like terms: 18 + -2 = 16 16 + 6x = 16 + 6x Add '-16' to each side of the equation. 16 + -16 + 6x = 16 + -16 + 6x Combine like terms: 16 + -16 = 0 0 + 6x = 16 + -16 + 6x 6x = 16 + -16 + 6x Combine like terms: 16 + -16 = 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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