Answer
$7x-8y-46$
Work Step by Step
Using the Distributive Property and then combining like terms, the given expression, $
x-2[4y+3(8-x)-1]
,$ simplifies to
\begin{array}{l}\require{cancel}
x-2[4y+3(8)+3(-x)-1]
\\\\=
x-2[4y+24-3x-1]
\\\\=
x-2[4y-3x+(-1+24)]
\\\\=
x-2[4y-3x+23]
\\\\=
x-8y+6x-46
\\\\=
(x+6x)-8y-46
\\\\=
7x-8y-46
.\end{array}