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Simplifying 3(X + 9) = 5(X + 4) Reorder the terms: 3(9 + X) = 5(X + 4) (9 * 3 + X * 3) = 5(X + 4) (27 + 3X) = 5(X + 4) Reorder the terms: 27 + 3X = 5(4 + X) 27 + 3X = (4 * 5 + X * 5) 27 + 3X = (20 + 5X) Solving 27 + 3X = 20 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 27 + 3X + -5X = 20 + 5X + -5X Combine like terms: 3X + -5X = -2X 27 + -2X = 20 + 5X + -5X Combine like terms: 5X + -5X = 0 27 + -2X = 20 + 0 27 + -2X = 20 Add '-27' to each side of the equation. 27 + -27 + -2X = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -2X = 20 + -27 -2X = 20 + -27 Combine like terms: 20 + -27 = -7 -2X = -7 Divide each side by '-2'. X = 3.5 Simplifying X = 3.5
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