Yes you can. I used to work at a dry cleaner. They cleaned all of my clothes for free. Since my washer had gone out I took all but underwear in to be dry cleaned for free. I took underwear to the laundramat to wash. After I got my new washer I took up washing everything myself again.
You are saying that you have dry cleaned a washable garment, and now you want to know if you can wash it again or if you have to keep dry cleaning it? You can wash it again. It doesn't make any difference if the fabric is washable, whether you wash it only, or dry clean it once in awhile. Some people like to dryclean garments to get the nice press job the cleaner does.
My mother used to wash certain things that had been dry-cleaned only to "freshen them up" as they were used - it worked, too. Just be careful in handling such items. Most need to be hand washed.
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