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Simplifying 2(100x + 10y) = 100y + 20x (100x * 2 + 10y * 2) = 100y + 20x (200x + 20y) = 100y + 20x Reorder the terms: 200x + 20y = 20x + 100y Solving 200x + 20y = 20x + 100y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 200x + -20x + 20y = 20x + -20x + 100y Combine like terms: 200x + -20x = 180x 180x + 20y = 20x + -20x + 100y Combine like terms: 20x + -20x = 0 180x + 20y = 0 + 100y 180x + 20y = 100y Add '-20y' to each side of the equation. 180x + 20y + -20y = 100y + -20y Combine like terms: 20y + -20y = 0 180x + 0 = 100y + -20y 180x = 100y + -20y Combine like terms: 100y + -20y = 80y 180x = 80y Divide each side by '180'. x = 0.4444444444y Simplifying x = 0.4444444444y
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