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Simplifying 3X + 17 = 12X + -82 Reorder the terms: 17 + 3X = 12X + -82 Reorder the terms: 17 + 3X = -82 + 12X Solving 17 + 3X = -82 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 17 + 3X + -12X = -82 + 12X + -12X Combine like terms: 3X + -12X = -9X 17 + -9X = -82 + 12X + -12X Combine like terms: 12X + -12X = 0 17 + -9X = -82 + 0 17 + -9X = -82 Add '-17' to each side of the equation. 17 + -17 + -9X = -82 + -17 Combine like terms: 17 + -17 = 0 0 + -9X = -82 + -17 -9X = -82 + -17 Combine like terms: -82 + -17 = -99 -9X = -99 Divide each side by '-9'. X = 11 Simplifying X = 11
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