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Simplifying 5(X + 8) = 3(X + 30) Reorder the terms: 5(8 + X) = 3(X + 30) (8 * 5 + X * 5) = 3(X + 30) (40 + 5X) = 3(X + 30) Reorder the terms: 40 + 5X = 3(30 + X) 40 + 5X = (30 * 3 + X * 3) 40 + 5X = (90 + 3X) Solving 40 + 5X = 90 + 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. 40 + 5X + -3X = 90 + 3X + -3X Combine like terms: 5X + -3X = 2X 40 + 2X = 90 + 3X + -3X Combine like terms: 3X + -3X = 0 40 + 2X = 90 + 0 40 + 2X = 90 Add '-40' to each side of the equation. 40 + -40 + 2X = 90 + -40 Combine like terms: 40 + -40 = 0 0 + 2X = 90 + -40 2X = 90 + -40 Combine like terms: 90 + -40 = 50 2X = 50 Divide each side by '2'. X = 25 Simplifying X = 25
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