Power getting some power !!

Algebra Level 3

If,

(743)x+(7+43)x=14(7-4\sqrt{3})^{x}+(7+4\sqrt{3})^{x}=14 and x<0x<0

Find x5+1x5x^{5}+\frac{1}{x^{5}}

Please give a solution.Thank you

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