Answer
$-21x+32$
Work Step by Step
Using the Distributive Property and then combining like terms, the given expression, $
9x-2\{4-5[6-2(x+1)-x]\}
,$ simplifies to
\begin{array}{l}\require{cancel}
9x-2\{4-5[6-2(x)-2(1)-x]\}
\\\\=
9x-2\{4-5[6-2x-2-x]\}
\\\\=
9x-2\{4-5[(-2x-x)+(-2+6)]\}
\\\\=
9x-2\{4-5[-3x+4]\}
\\\\=
9x-2\{4-5[-3x]-5[4]\}
\\\\=
9x-2\{4+15x-20\}
\\\\=
9x-2\{15x-16\}
\\\\=
9x-2\{15x\}-2\{-16\}
\\\\=
9x-30x+32
\\\\=
-21x+32
.\end{array}
