Let \( \left|\begin{array}{ccc}x^{2}+3 x & x-1 & x+3 \\ x+1...
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Let \( \left|\begin{array}{ccc}x^{2}+3 x & x-1 & x+3 \\ x+1 & -2 x & x-4 \\ x-3 & x+4 & 3 x\end{array}\right|=a x^{4}+b x^{3}+c x^{2}+d x+e \) be an identity in \( x \), where \( a, b, c, d, e \) are independent of \( x \). Then the value of \( e \) is
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