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Simplifying 5(x + -1y) + 6(2x + 8y) = 0 (x * 5 + -1y * 5) + 6(2x + 8y) = 0 (5x + -5y) + 6(2x + 8y) = 0 5x + -5y + (2x * 6 + 8y * 6) = 0 5x + -5y + (12x + 48y) = 0 Reorder the terms: 5x + 12x + -5y + 48y = 0 Combine like terms: 5x + 12x = 17x 17x + -5y + 48y = 0 Combine like terms: -5y + 48y = 43y 17x + 43y = 0 Solving 17x + 43y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43y' to each side of the equation. 17x + 43y + -43y = 0 + -43y Combine like terms: 43y + -43y = 0 17x + 0 = 0 + -43y 17x = 0 + -43y Remove the zero: 17x = -43y Divide each side by '17'. x = -2.529411765y Simplifying x = -2.529411765y
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