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Simplifying 8(0.6x + 0.4y) + 17(0.2x + -0.8y) = 0 (0.6x * 8 + 0.4y * 8) + 17(0.2x + -0.8y) = 0 (4.8x + 3.2y) + 17(0.2x + -0.8y) = 0 4.8x + 3.2y + (0.2x * 17 + -0.8y * 17) = 0 4.8x + 3.2y + (3.4x + -13.6y) = 0 Reorder the terms: 4.8x + 3.4x + 3.2y + -13.6y = 0 Combine like terms: 4.8x + 3.4x = 8.2x 8.2x + 3.2y + -13.6y = 0 Combine like terms: 3.2y + -13.6y = -10.4y 8.2x + -10.4y = 0 Solving 8.2x + -10.4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.4y' to each side of the equation. 8.2x + -10.4y + 10.4y = 0 + 10.4y Combine like terms: -10.4y + 10.4y = 0.0 8.2x + 0.0 = 0 + 10.4y 8.2x = 0 + 10.4y Remove the zero: 8.2x = 10.4y Divide each side by '8.2'. x = 1.268292683y Simplifying x = 1.268292683y
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