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Simplifying 4(4X + 6) = 3(3X + 12) Reorder the terms: 4(6 + 4X) = 3(3X + 12) (6 * 4 + 4X * 4) = 3(3X + 12) (24 + 16X) = 3(3X + 12) Reorder the terms: 24 + 16X = 3(12 + 3X) 24 + 16X = (12 * 3 + 3X * 3) 24 + 16X = (36 + 9X) Solving 24 + 16X = 36 + 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. 24 + 16X + -9X = 36 + 9X + -9X Combine like terms: 16X + -9X = 7X 24 + 7X = 36 + 9X + -9X Combine like terms: 9X + -9X = 0 24 + 7X = 36 + 0 24 + 7X = 36 Add '-24' to each side of the equation. 24 + -24 + 7X = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 7X = 36 + -24 7X = 36 + -24 Combine like terms: 36 + -24 = 12 7X = 12 Divide each side by '7'. X = 1.714285714 Simplifying X = 1.714285714
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