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If $h(x)=ax$ and $j(x)=x+a$, where $a$ is a nonzero number, then which of the following statements must be true?

I. $h(-x)=-h(x)$

II. $h(3x)=3h(x)$

III. $j(x)=h(x)-a$

A

$\text{I only}$

B

$\text{II only}$

C

$\text{III only}$

D

$\text{I and II only}$

E

$\text{II and III only}$

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