Binomial expansion help- is the question wrong?

Quote:

Find the coefficiant of $\displaystyle x $ in the expansion of $\displaystyle (1 - 2x)^4 (2 + x)^9$

Ive done this (I think) and got:

$\displaystyle 512 - 18432 x^2 + 110592 x^4 + 2016 x^5 - 171360 x^6 + 144 x^7 + 64521 x^8 + x^9$

I cannot find a coeficciant of $\displaystyle x$ because, after expanding the 2 brackets. Upon multiplying them both together, the 2 $\displaystyle x$'s that are in each bracket make an $\displaystyle x^2$ therefore eradicating a coefficiant of $\displaystyle x$

Any help would be greatly appreciated as if this comes up in the exam, I would be prety stuck

thanks!