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Simplifying 15(X + 10) = 12(3X + 2) Reorder the terms: 15(10 + X) = 12(3X + 2) (10 * 15 + X * 15) = 12(3X + 2) (150 + 15X) = 12(3X + 2) Reorder the terms: 150 + 15X = 12(2 + 3X) 150 + 15X = (2 * 12 + 3X * 12) 150 + 15X = (24 + 36X) Solving 150 + 15X = 24 + 36X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36X' to each side of the equation. 150 + 15X + -36X = 24 + 36X + -36X Combine like terms: 15X + -36X = -21X 150 + -21X = 24 + 36X + -36X Combine like terms: 36X + -36X = 0 150 + -21X = 24 + 0 150 + -21X = 24 Add '-150' to each side of the equation. 150 + -150 + -21X = 24 + -150 Combine like terms: 150 + -150 = 0 0 + -21X = 24 + -150 -21X = 24 + -150 Combine like terms: 24 + -150 = -126 -21X = -126 Divide each side by '-21'. X = 6 Simplifying X = 6
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