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Simplifying 10x + y + 0.24(10y + x) = 0.24 Reorder the terms: 10x + y + 0.24(x + 10y) = 0.24 10x + y + (x * 0.24 + 10y * 0.24) = 0.24 10x + y + (0.24x + 2.4y) = 0.24 Reorder the terms: 10x + 0.24x + y + 2.4y = 0.24 Combine like terms: 10x + 0.24x = 10.24x 10.24x + y + 2.4y = 0.24 Combine like terms: y + 2.4y = 3.4y 10.24x + 3.4y = 0.24 Solving 10.24x + 3.4y = 0.24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4y' to each side of the equation. 10.24x + 3.4y + -3.4y = 0.24 + -3.4y Combine like terms: 3.4y + -3.4y = 0.0 10.24x + 0.0 = 0.24 + -3.4y 10.24x = 0.24 + -3.4y Divide each side by '10.24'. x = 0.0234375 + -0.33203125y Simplifying x = 0.0234375 + -0.33203125y
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