# Simplify to get the real maximum value

Algebra Level pending

$$f(x)$$ is defined as $$f(x)=2k+14x-x^{2}$$ , $$x\in\mathbb{R}$$, $$x>0$$.

$$k = \frac{\ln((e^{2{\ln}e + \ln(-e^{2}) + \ln(-e^{3})})(-e^{-1})) - \ln{e^{\imath\pi-5}}}{(2\sec^{2}x - \cos^{3}\tan^{3}\sec^{2}\cot^{2}\sin x - 2\tan^{2}x + \sin^{2}x)^{-1}}$$

Find the maximum value of $$f(x)$$.

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