The range of the function $f(x)$ is $[-3,5].$  Let $h(x) = 2f(x) - 7.$  Find the range of the function $h(x).$
<|im_start|>system
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<|im_start|>user
The range of the function $f(x)$ is $[-3,5].$  Let $h(x) = 2f(x) - 7.$  Find the range of the function $h(x).$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[-13,3]
The range of the function $f(x)$ is $[-3,5].$  Let $h(x) = 2f(x) - 7.$  Find the range of the function $h(x).$
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