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Simplifying 5(0.3x + 0.1y) + 0.2x = 0 (0.3x * 5 + 0.1y * 5) + 0.2x = 0 (1.5x + 0.5y) + 0.2x = 0 Reorder the terms: 1.5x + 0.2x + 0.5y = 0 Combine like terms: 1.5x + 0.2x = 1.7x 1.7x + 0.5y = 0 Solving 1.7x + 0.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 1.7x + 0.5y + -0.5y = 0 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 1.7x + 0.0 = 0 + -0.5y 1.7x = 0 + -0.5y Remove the zero: 1.7x = -0.5y Divide each side by '1.7'. x = -0.2941176471y Simplifying x = -0.2941176471y
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