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Simplifying 3X + 74 = 6X + -3 + 9X + 27 Reorder the terms: 74 + 3X = 6X + -3 + 9X + 27 Reorder the terms: 74 + 3X = -3 + 27 + 6X + 9X Combine like terms: -3 + 27 = 24 74 + 3X = 24 + 6X + 9X Combine like terms: 6X + 9X = 15X 74 + 3X = 24 + 15X Solving 74 + 3X = 24 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 74 + 3X + -15X = 24 + 15X + -15X Combine like terms: 3X + -15X = -12X 74 + -12X = 24 + 15X + -15X Combine like terms: 15X + -15X = 0 74 + -12X = 24 + 0 74 + -12X = 24 Add '-74' to each side of the equation. 74 + -74 + -12X = 24 + -74 Combine like terms: 74 + -74 = 0 0 + -12X = 24 + -74 -12X = 24 + -74 Combine like terms: 24 + -74 = -50 -12X = -50 Divide each side by '-12'. X = 4.166666667 Simplifying X = 4.166666667
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