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Simplifying (0.1x + 0.4y) * 2 = 0 Reorder the terms for easier multiplication: 2(0.1x + 0.4y) = 0 (0.1x * 2 + 0.4y * 2) = 0 (0.2x + 0.8y) = 0 Solving 0.2x + 0.8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 0.2x + 0.8y + -0.8y = 0 + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 0.2x + 0.0 = 0 + -0.8y 0.2x = 0 + -0.8y Remove the zero: 0.2x = -0.8y Divide each side by '0.2'. x = -4y Simplifying x = -4y
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