How many solutions are there to the equation below |x|=77?

C.
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 77, -77
[tex]Solution, \left|x\right|=77\quad :\quad x=-77\quad \mathrm{or}\quad \:x=77[/tex]
Steps:
[tex]\left|x\right|=77[/tex]
[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, |f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a[/tex]
The correct answer is C. 2
Hope this helps!!!
<3 -austint1414