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Simplifying 9(3X + 2) + -10X = 12X + -7 Reorder the terms: 9(2 + 3X) + -10X = 12X + -7 (2 * 9 + 3X * 9) + -10X = 12X + -7 (18 + 27X) + -10X = 12X + -7 Combine like terms: 27X + -10X = 17X 18 + 17X = 12X + -7 Reorder the terms: 18 + 17X = -7 + 12X Solving 18 + 17X = -7 + 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. 18 + 17X + -12X = -7 + 12X + -12X Combine like terms: 17X + -12X = 5X 18 + 5X = -7 + 12X + -12X Combine like terms: 12X + -12X = 0 18 + 5X = -7 + 0 18 + 5X = -7 Add '-18' to each side of the equation. 18 + -18 + 5X = -7 + -18 Combine like terms: 18 + -18 = 0 0 + 5X = -7 + -18 5X = -7 + -18 Combine like terms: -7 + -18 = -25 5X = -25 Divide each side by '5'. X = -5 Simplifying X = -5
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