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In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation \begin{equation*} -\operatorname{div}(g^p(u)|\nabla u|^{p-2}\nabla u)+g^{p-1}(u)g'(u)|\nabla u|^p+V(x)|u|^{p-2}u =K(x)f(u)+Q(x)g(u)|G(u)|^{p^*-2}G(u),\qquad x\in\mathbb R^N, \end{equation*} where $N\geq 3$, $1<p\leq N$, $p^*=\frac{Np}{N-p}$, $g\in\mathcal{C}^1(\mathbb R,\mathbb R^{+})$, $V(x)$ and $K(x)$ are positive continuous functions and $G(u)=\int_0^ug(t)dt$. By using a change of variable, we obtain the existence of positive solutions for this problem by using the Mountain Pass Theorem. Our results generalize some existing results.