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Simplifying 0.01x + 0.05y = 0.02(x + y) 0.01x + 0.05y = (x * 0.02 + y * 0.02) 0.01x + 0.05y = (0.02x + 0.02y) Solving 0.01x + 0.05y = 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. 0.01x + -0.02x + 0.05y = 0.02x + -0.02x + 0.02y Combine like terms: 0.01x + -0.02x = -0.01x -0.01x + 0.05y = 0.02x + -0.02x + 0.02y Combine like terms: 0.02x + -0.02x = 0.00 -0.01x + 0.05y = 0.00 + 0.02y -0.01x + 0.05y = 0.02y Add '-0.05y' to each side of the equation. -0.01x + 0.05y + -0.05y = 0.02y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 -0.01x + 0.00 = 0.02y + -0.05y -0.01x = 0.02y + -0.05y Combine like terms: 0.02y + -0.05y = -0.03y -0.01x = -0.03y Divide each side by '-0.01'. x = 3y Simplifying x = 3y
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