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Simplifying 7 + 12X + -6 = 5X + 82 + -2X Reorder the terms: 7 + -6 + 12X = 5X + 82 + -2X Combine like terms: 7 + -6 = 1 1 + 12X = 5X + 82 + -2X Reorder the terms: 1 + 12X = 82 + 5X + -2X Combine like terms: 5X + -2X = 3X 1 + 12X = 82 + 3X Solving 1 + 12X = 82 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 1 + 12X + -3X = 82 + 3X + -3X Combine like terms: 12X + -3X = 9X 1 + 9X = 82 + 3X + -3X Combine like terms: 3X + -3X = 0 1 + 9X = 82 + 0 1 + 9X = 82 Add '-1' to each side of the equation. 1 + -1 + 9X = 82 + -1 Combine like terms: 1 + -1 = 0 0 + 9X = 82 + -1 9X = 82 + -1 Combine like terms: 82 + -1 = 81 9X = 81 Divide each side by '9'. X = 9 Simplifying X = 9
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