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Simplifying 6(X + 1) = 3(2X + 7) + -15 Reorder the terms: 6(1 + X) = 3(2X + 7) + -15 (1 * 6 + X * 6) = 3(2X + 7) + -15 (6 + 6X) = 3(2X + 7) + -15 Reorder the terms: 6 + 6X = 3(7 + 2X) + -15 6 + 6X = (7 * 3 + 2X * 3) + -15 6 + 6X = (21 + 6X) + -15 Reorder the terms: 6 + 6X = 21 + -15 + 6X Combine like terms: 21 + -15 = 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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