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Simplifying 6(X + 5) = 3(2X + -1) + 27 Reorder the terms: 6(5 + X) = 3(2X + -1) + 27 (5 * 6 + X * 6) = 3(2X + -1) + 27 (30 + 6X) = 3(2X + -1) + 27 Reorder the terms: 30 + 6X = 3(-1 + 2X) + 27 30 + 6X = (-1 * 3 + 2X * 3) + 27 30 + 6X = (-3 + 6X) + 27 Reorder the terms: 30 + 6X = -3 + 27 + 6X Combine like terms: -3 + 27 = 24 30 + 6X = 24 + 6X Add '-6X' to each side of the equation. 30 + 6X + -6X = 24 + 6X + -6X Combine like terms: 6X + -6X = 0 30 + 0 = 24 + 6X + -6X 30 = 24 + 6X + -6X Combine like terms: 6X + -6X = 0 30 = 24 + 0 30 = 24 Solving 30 = 24 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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