Are you smart in Summation Problems?

Algebra Level 2

i=1nx+i3i+2=i=1ni+1x+3i+1\large\displaystyle\sum_{i=1}^{n} \dfrac{x+i}{3i+2}=\displaystyle\sum_{i=1}^{n} \dfrac{i+1}{x+3i+1}

Solve for real x{x}.

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