Autumn was constantly misplacing her pencils.  At the start of the school year, she purchased a pack of 20 pencils.  In the first month of school, she misplaced 7 pencils, broke 3 pencils and had to throw them away, she found 4, and bought 2.  How many pencils did Autumn have left?
Please reason step by step, and put your final answer within \boxed{}.
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