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Simplifying 0.2x + 0.5y = 0.32(x + y) 0.2x + 0.5y = (x * 0.32 + y * 0.32) 0.2x + 0.5y = (0.32x + 0.32y) Solving 0.2x + 0.5y = 0.32x + 0.32y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. 0.2x + -0.32x + 0.5y = 0.32x + -0.32x + 0.32y Combine like terms: 0.2x + -0.32x = -0.12x -0.12x + 0.5y = 0.32x + -0.32x + 0.32y Combine like terms: 0.32x + -0.32x = 0.00 -0.12x + 0.5y = 0.00 + 0.32y -0.12x + 0.5y = 0.32y Add '-0.5y' to each side of the equation. -0.12x + 0.5y + -0.5y = 0.32y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -0.12x + 0.0 = 0.32y + -0.5y -0.12x = 0.32y + -0.5y Combine like terms: 0.32y + -0.5y = -0.18y -0.12x = -0.18y Divide each side by '-0.12'. x = 1.5y Simplifying x = 1.5y
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