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Simplifying 5(X + 3) = 2(X + 12) Reorder the terms: 5(3 + X) = 2(X + 12) (3 * 5 + X * 5) = 2(X + 12) (15 + 5X) = 2(X + 12) Reorder the terms: 15 + 5X = 2(12 + X) 15 + 5X = (12 * 2 + X * 2) 15 + 5X = (24 + 2X) Solving 15 + 5X = 24 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 15 + 5X + -2X = 24 + 2X + -2X Combine like terms: 5X + -2X = 3X 15 + 3X = 24 + 2X + -2X Combine like terms: 2X + -2X = 0 15 + 3X = 24 + 0 15 + 3X = 24 Add '-15' to each side of the equation. 15 + -15 + 3X = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 3X = 24 + -15 3X = 24 + -15 Combine like terms: 24 + -15 = 9 3X = 9 Divide each side by '3'. X = 3 Simplifying X = 3
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