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Simplifying x + y = 0.5(y + x + -0.2) Reorder the terms: x + y = 0.5(-0.2 + x + y) x + y = (-0.2 * 0.5 + x * 0.5 + y * 0.5) x + y = (-0.1 + 0.5x + 0.5y) Solving x + y = -0.1 + 0.5x + 0.5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. x + -0.5x + y = -0.1 + 0.5x + -0.5x + 0.5y Combine like terms: x + -0.5x = 0.5x 0.5x + y = -0.1 + 0.5x + -0.5x + 0.5y Combine like terms: 0.5x + -0.5x = 0.0 0.5x + y = -0.1 + 0.0 + 0.5y 0.5x + y = -0.1 + 0.5y Add '-1y' to each side of the equation. 0.5x + y + -1y = -0.1 + 0.5y + -1y Combine like terms: y + -1y = 0 0.5x + 0 = -0.1 + 0.5y + -1y 0.5x = -0.1 + 0.5y + -1y Combine like terms: 0.5y + -1y = -0.5y 0.5x = -0.1 + -0.5y Divide each side by '0.5'. x = -0.2 + -1y Simplifying x = -0.2 + -1y
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