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Simplifying 0.1y + 0.5x = 70 + -31.9 Reorder the terms: 0.5x + 0.1y = 70 + -31.9 Combine like terms: 70 + -31.9 = 38.1 0.5x + 0.1y = 38.1 Solving 0.5x + 0.1y = 38.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1y' to each side of the equation. 0.5x + 0.1y + -0.1y = 38.1 + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 0.5x + 0.0 = 38.1 + -0.1y 0.5x = 38.1 + -0.1y Divide each side by '0.5'. x = 76.2 + -0.2y Simplifying x = 76.2 + -0.2y
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