Answer
The solution set is {9,-9}.
Work Step by Step
Using the absolute property rules, we can solve the problem by removing the bars and solving the equation.
$-6|x|+44=-10$
$-6x+44=-10$
$-6x=-10-44$
$-6x=-54$
$x=-54/-6$
$x=9$
Since this is an absolute value equation, we must the positives and negatives of the number. So the solution is {9,-9}.
