Consider a function $f: N \rightarrow R$, satisfying $f(1)+2 f(2)+3 f(3)+\ldots+x f(x)=x(x+1) f(x) ; x \geq 2$ with $f(1)=1$.
Then $\frac{1}{f(2022)}+\frac{1}{f(2028)}$ is equal to
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