Answer
$34x^2+11x$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $
6x^2-x+4(7x^2+3x)
$, simplifies to
\begin{array}{l}\require{cancel}
6x^2-x+4(7x^2)+4(3x)
\\\\=
6x^2-x+28x^2+12x
\\\\=
(6x^2+28x^2)+(-x+12x)
\\\\=
34x^2+11x
.\end{array}