The derivative operator [itex]\frac{\partial^j}{\partial x^j}[/itex] is acting only on x...the j=0 derivative is just the zeroith order derivative of x, which is x. The j=1 derivative is [itex]\frac{\partial}{\partial x}x=1[/itex]. Since this is a constant, all higher order derivatives are zero and so all the j>1 terms in each of the sums is zero. You are left with only the j=0 and j=1 terms which you can write out explicitly to obtain the expression on the right.