Algebra

Now, there are two ways to do this problem. 

First off, let's look at the possibilities of how we can create x. 

We have x and 14, which gets us 14x. 

Next, we have -23x and 1, which gives us -23x. 

Thus, the coefficient is simply $14x-23x = -9x$

We could also just expand the entire thing. We find that after expanding out the entire thing, we have

$x^{7}-7x^{6}+10x^{5}-13x^{4}+8x^{2}-9x+14$

Thus, the coefficient of x is just $-9$

So -9 is our answer. 

Thanks! :)