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Simplifying 0.0125x + 0.1y = 0.02(x + y) 0.0125x + 0.1y = (x * 0.02 + y * 0.02) 0.0125x + 0.1y = (0.02x + 0.02y) Solving 0.0125x + 0.1y = 0.02x + 0.02y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. 0.0125x + -0.02x + 0.1y = 0.02x + -0.02x + 0.02y Combine like terms: 0.0125x + -0.02x = -0.0075x -0.0075x + 0.1y = 0.02x + -0.02x + 0.02y Combine like terms: 0.02x + -0.02x = 0.00 -0.0075x + 0.1y = 0.00 + 0.02y -0.0075x + 0.1y = 0.02y Add '-0.1y' to each side of the equation. -0.0075x + 0.1y + -0.1y = 0.02y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 -0.0075x + 0.0 = 0.02y + -0.1y -0.0075x = 0.02y + -0.1y Combine like terms: 0.02y + -0.1y = -0.08y -0.0075x = -0.08y Divide each side by '-0.0075'. x = 10.66666667y Simplifying x = 10.66666667y
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