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655+556.8+1.7\times 164-4.7\times 24
Multiply 9.6 and 58 to get 556.8.
1211.8+1.7\times 164-4.7\times 24
Add 655 and 556.8 to get 1211.8.
1211.8+278.8-4.7\times 24
Multiply 1.7 and 164 to get 278.8.
1490.6-4.7\times 24
Add 1211.8 and 278.8 to get 1490.6.
1490.6-112.8
Multiply 4.7 and 24 to get 112.8.
1377.8
Subtract 112.8 from 1490.6 to get 1377.8.