2. The coefficient of the $x$ term in the expansion of $\left(2 x+\frac{1}{\sqrt{x}}\right)^{7}$ is
$$
T_{r+1}=C_{7}^{r}(2 x)^{7-r}\left(\frac{1}{\sqrt{x}}\right)^{r}=2^{7-r} C_{7}^{r} x^{7-\frac{3 r}{2}} \Rightarrow T_{5}=2^{3} C_{7}^{4} x=280 x \text {, }
$$

Therefore, the coefficient of the $x$ term in the original expression is 280.