He rides his bike 6 + 7 = <<6+7=13>>13 miles to school and back every day.

Therefore, Vins rode his bike 13 x 5 = <<13*5=65>>65 miles to school and back this week.

# Answer

65
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Vins rides his bike 6 miles to school. He rides home a different route that is 7 miles long. This week, Vins rode to school and back 5 times. How many miles did Vins ride his bike this week?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
65
Vins rides his bike 6 miles to school. He rides home a different route that is 7 miles long. This week, Vins rode to school and back 5 times. How many miles did Vins ride his bike this week?
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