When you create a drawing in Draw, you often want to then paste it into a Writer document.
However, if you just copy and paste, sometimes even though it comes in grouped together, pieces can shift.
And especially then if you resize a drawing that includes text, you're going to end up with some wackiness.
The best thing to do is to export that drawing to a PNG or other raster format file, then import it into Writer. (From Draw, File > Export, select a format, be sure to select Selection in the dialog box, and name the file. Then in Writer, choose Insert > Picture > From File and select the file.)
However, here's something that's quicker that prevents random shifting, and allows you to resize without getting weird results with text.
1. In Draw, make a copy of the drawing so you don't mess up the original. Simplest is to create a new slide (Insert > Slide), copy the drawing from the original slide to the new slide.
2. Select the whole drawing, right-click on a part of it and choose Convert > To Polygon.
3. Select the converted drawing, copy it, and paste it into Writer. With pasting, you see that the flip of the thought bubble didn't happen.
And when you resize, the text resizes.
DON'T UNGROUP THE DRAWING AFTER YOU'VE PASTED IT INTO WRITER. You can regroup it but you'll likely notice the elements separating from each other before you realize you need to regroup it.
So don't right-click on the drawing in Writer and choose Group > Ungroup. Keep it grouped, which it is by default when you paste it in.