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Simplifying 3(X + 4) + 2 = 10X + 2 + -1X Reorder the terms: 3(4 + X) + 2 = 10X + 2 + -1X (4 * 3 + X * 3) + 2 = 10X + 2 + -1X (12 + 3X) + 2 = 10X + 2 + -1X Reorder the terms: 12 + 2 + 3X = 10X + 2 + -1X Combine like terms: 12 + 2 = 14 14 + 3X = 10X + 2 + -1X Reorder the terms: 14 + 3X = 2 + 10X + -1X Combine like terms: 10X + -1X = 9X 14 + 3X = 2 + 9X Solving 14 + 3X = 2 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 14 + 3X + -9X = 2 + 9X + -9X Combine like terms: 3X + -9X = -6X 14 + -6X = 2 + 9X + -9X Combine like terms: 9X + -9X = 0 14 + -6X = 2 + 0 14 + -6X = 2 Add '-14' to each side of the equation. 14 + -14 + -6X = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -6X = 2 + -14 -6X = 2 + -14 Combine like terms: 2 + -14 = -12 -6X = -12 Divide each side by '-6'. X = 2 Simplifying X = 2
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