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Simplifying 5(3X + 2) + 2(3X + 4) + 2 = 21X + 21 Reorder the terms: 5(2 + 3X) + 2(3X + 4) + 2 = 21X + 21 (2 * 5 + 3X * 5) + 2(3X + 4) + 2 = 21X + 21 (10 + 15X) + 2(3X + 4) + 2 = 21X + 21 Reorder the terms: 10 + 15X + 2(4 + 3X) + 2 = 21X + 21 10 + 15X + (4 * 2 + 3X * 2) + 2 = 21X + 21 10 + 15X + (8 + 6X) + 2 = 21X + 21 Reorder the terms: 10 + 8 + 2 + 15X + 6X = 21X + 21 Combine like terms: 10 + 8 = 18 18 + 2 + 15X + 6X = 21X + 21 Combine like terms: 18 + 2 = 20 20 + 15X + 6X = 21X + 21 Combine like terms: 15X + 6X = 21X 20 + 21X = 21X + 21 Reorder the terms: 20 + 21X = 21 + 21X Add '-21X' to each side of the equation. 20 + 21X + -21X = 21 + 21X + -21X Combine like terms: 21X + -21X = 0 20 + 0 = 21 + 21X + -21X 20 = 21 + 21X + -21X Combine like terms: 21X + -21X = 0 20 = 21 + 0 20 = 21 Solving 20 = 21 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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