2sin(4x)[(cos(3/2)x)(cos(5x/2)-sin((15/4)x)]+x

can someone simplify this using trig identities?

Here is the page of identities: http://www.trans4mind.com/personal_development/mathematics/trigonometry/sumProductCosSin.htm#Products

I can not possibly help you on here typing all this. Plan on getting a yellow legal pad and be careful.