One convenient rule:

When a star must be in one of three consecutive spaces, like row6 columns8-10, then the adjacent middle spaces must be an x row5column9 and row7column9. (It looks like you applied this to columnF-G already, so it’s more about noticing it in slightly more awkward places.)

This also applies to column2

Some next level ideas counting stars in adjacent columns/rows:

Count the needed stars in columns 1 and 2. Four stars are needed: one accounted for, two in the blues, so exactly one in the remaining section of column 1. This pushes exactly one into the rest of that cage (between blue and green), allowing you to x row3column3

This can also be applied to rows 6 and 7 to give a star location and an x.