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I bought this, my first ever manual typewriter, at the flea market this past weekend for $10!
It was in pretty good shape, apart from having a few bent keys. Needed a good cleaning, of course. Had some issues with double characters, but I've managed to figure out that's due to a combination the platen having hardened and my hitting the keys with too much force. It types fine with I ease up a bit.
Haven't found much about this model online. It appears it's a rebranded Smith-Corona Galaxie. Least that's the closest model I can find that looks like it.
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Nice machine, especially the paint scheme - congratulations! You are correct that it's a Smith-Corona in disguise, and that's really good news. Smith-Corona, amoung other manufacturers, made typewriters for Singer which were sold alongside the company's sewing machines in their retail outlets.
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I also got a Smith Corona under the "badge name" Sears Tower. It is clearly a Smith as I could see from the inner workings. It looks similar to yours. It works great, but I only paid $5 dollars for it at a garage sale. I would suggest, in the future, that you look further as Smiths seem to be plentiful and can be bought for much less. I have seen at least seven in the last two months--six at antique stores where the prices are known to be high, for $60 average. Also one for $20 at a garage sale.