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Simplifying 8(x + 3y) + 2(x + 7y) = 0 (x * 8 + 3y * 8) + 2(x + 7y) = 0 (8x + 24y) + 2(x + 7y) = 0 8x + 24y + (x * 2 + 7y * 2) = 0 8x + 24y + (2x + 14y) = 0 Reorder the terms: 8x + 2x + 24y + 14y = 0 Combine like terms: 8x + 2x = 10x 10x + 24y + 14y = 0 Combine like terms: 24y + 14y = 38y 10x + 38y = 0 Solving 10x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. 10x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 10x + 0 = 0 + -38y 10x = 0 + -38y Remove the zero: 10x = -38y Divide each side by '10'. x = -3.8y Simplifying x = -3.8y
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