A set of four consecutive integers has a sum of 22. If each integer of the set is increased by 2 and then multiplied by 20, what is the sum of the new set of integers?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A set of four consecutive integers has a sum of 22. If each integer of the set is increased by 2 and then multiplied by 20, what is the sum of the new set of integers?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
600
A set of four consecutive integers has a sum of 22. If each integer of the set is increased by 2 and then multiplied by 20, what is the sum of the new set of integers?
train