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Simplifying 3(5X + 4) + -10X + 9 = 51 Reorder the terms: 3(4 + 5X) + -10X + 9 = 51 (4 * 3 + 5X * 3) + -10X + 9 = 51 (12 + 15X) + -10X + 9 = 51 Reorder the terms: 12 + 9 + 15X + -10X = 51 Combine like terms: 12 + 9 = 21 21 + 15X + -10X = 51 Combine like terms: 15X + -10X = 5X 21 + 5X = 51 Solving 21 + 5X = 51 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5X = 51 + -21 Combine like terms: 21 + -21 = 0 0 + 5X = 51 + -21 5X = 51 + -21 Combine like terms: 51 + -21 = 30 5X = 30 Divide each side by '5'. X = 6 Simplifying X = 6
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