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2+2\times 5+5\times 1-1\times 2
Multiply 1 and 2 to get 2. Multiply 2 and 1 to get 2. Multiply 1 and 5 to get 5.
2+10+5\times 1-1\times 2
Multiply 2 and 5 to get 10.
12+5\times 1-1\times 2
Add 2 and 10 to get 12.
12+5-1\times 2
Multiply 5 and 1 to get 5.
17-1\times 2
Add 12 and 5 to get 17.
17-2
Multiply 1 and 2 to get 2.
15
Subtract 2 from 17 to get 15.