[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf [5 - (5 - 5(2 - 5) + 2)] + 6[/tex]
Subtract 5 from 2 to get -3.
[tex] \sf \: 5-\left(5-5\left(-3\right)+2\right)+6 [/tex]
Multiply 5 and -3 to get -15.
[tex] \sf \: 5-\left(5-\left(-15\right)+2\right)+6 [/tex]
The opposite of -15 is 15.
[tex] \sf \: 5-\left(5+15+2\right)+6 [/tex]
Add 5 and 15 to get 20.
[tex] \sf \: 5-\left(20+2\right)+6 [/tex]
Add 20 and 2 to get 22.
[tex] \sf \: 5-22+6 [/tex]
Subtract 22 from 5 to get -17.
[tex] \sf \: -17+6 [/tex]
Add -17 and 6 to get -11.
[tex] = \boxed{ \boxed { \bf \: - 11}}[/tex]