Reflect $(-1,-2)$ $\operatorname{across} x=1$

Step 1 ：Reflect the point $(-1, -2)$ across the line $x = 1$. Find the distance between the point and the line: $1 - (-1) = 2$. Move the point 2 units to the right of the line.

Step 2 ：The reflected point is $(3, -2)$. \(\boxed{(3, -2)}\)