think about which terms could be included
x^4, x^3, x^2 will all tead to terms the power of x bigger than 1
so the only bit that could be relevant is (x+1)^4
the general term in the expansion is \(\binom{4}{n}x^n\) where x can be 0,1,2,3,or 4
so the term you want is \(\binom{4}{1}x^1=4x\)
so the coefficint of x is 4