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Simplifying 6(X + 4) = 3(X + 9) + 3 Reorder the terms: 6(4 + X) = 3(X + 9) + 3 (4 * 6 + X * 6) = 3(X + 9) + 3 (24 + 6X) = 3(X + 9) + 3 Reorder the terms: 24 + 6X = 3(9 + X) + 3 24 + 6X = (9 * 3 + X * 3) + 3 24 + 6X = (27 + 3X) + 3 Reorder the terms: 24 + 6X = 27 + 3 + 3X Combine like terms: 27 + 3 = 30 24 + 6X = 30 + 3X Solving 24 + 6X = 30 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 24 + 6X + -3X = 30 + 3X + -3X Combine like terms: 6X + -3X = 3X 24 + 3X = 30 + 3X + -3X Combine like terms: 3X + -3X = 0 24 + 3X = 30 + 0 24 + 3X = 30 Add '-24' to each side of the equation. 24 + -24 + 3X = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 3X = 30 + -24 3X = 30 + -24 Combine like terms: 30 + -24 = 6 3X = 6 Divide each side by '3'. X = 2 Simplifying X = 2
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