Amy's score was 2 + 4 = <<2+4=6>>6.

Jason's score was 6 x 2 = <<6*2=12>>12.

So, their team's score was 2 + 6 + 12 = <<2+6+12=20>>20.

# Answer

20
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Connor scored 2 in a game while Amy scored 4 more than Connor. Jason scored twice the score of Amy. If Connor, Amy, and Jason belong to the same team, how many points did their team have?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
20
Connor scored 2 in a game while Amy scored 4 more than Connor. Jason scored twice the score of Amy. If Connor, Amy, and Jason belong to the same team, how many points did their team have?
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