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Simplifying x = 0.3y + 0.5(0.7y + 0.8x) Reorder the terms: x = 0.3y + 0.5(0.8x + 0.7y) x = 0.3y + (0.8x * 0.5 + 0.7y * 0.5) x = 0.3y + (0.4x + 0.35y) Reorder the terms: x = 0.4x + 0.3y + 0.35y Combine like terms: 0.3y + 0.35y = 0.65y x = 0.4x + 0.65y Solving x = 0.4x + 0.65y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. x + -0.4x = 0.4x + -0.4x + 0.65y Combine like terms: x + -0.4x = 0.6x 0.6x = 0.4x + -0.4x + 0.65y Combine like terms: 0.4x + -0.4x = 0.0 0.6x = 0.0 + 0.65y 0.6x = 0.65y Divide each side by '0.6'. x = 1.083333333y Simplifying x = 1.083333333y
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