\(\left[x+1+x+2+x+3+...+x+100\right]=5950\)
\(\left[\left(x+x+x+...+x\right)+\left(1+2+3+4+...+100\right)\right]=5950\)
\(\left[\left(x+x+x+...+x\right)+\left(\frac{\left(100+1\right)\left[\left(100-1\right):1+1\right]}{2}\right)\right]=5950\)
\(\left[100x+5050\right]=5950\)
\(100x=900\Leftrightarrow x=9\)