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Simplifying 3X + 17 = 12X + -9(X + -5) Reorder the terms: 17 + 3X = 12X + -9(X + -5) Reorder the terms: 17 + 3X = 12X + -9(-5 + X) 17 + 3X = 12X + (-5 * -9 + X * -9) 17 + 3X = 12X + (45 + -9X) Reorder the terms: 17 + 3X = 45 + 12X + -9X Combine like terms: 12X + -9X = 3X 17 + 3X = 45 + 3X Add '-3X' to each side of the equation. 17 + 3X + -3X = 45 + 3X + -3X Combine like terms: 3X + -3X = 0 17 + 0 = 45 + 3X + -3X 17 = 45 + 3X + -3X Combine like terms: 3X + -3X = 0 17 = 45 + 0 17 = 45 Solving 17 = 45 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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