Theia had some $$ $2$$-notes and $$ $10$$-notes. She had $$95$$ notes altogether at first. When she exchanged all of her $$ $10$$-notes for five $$ $2$$-notes each, she found that she had $$175$$ $ $2$-notes. How many $$ $2$$-notes did she have at first?~\uline{~~~~~~~~~~}~ 
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