Question 156771
Multiplication - a negative times a negative is a positive. a negative times a positive is a negative (in most instances!)

4(3+x)+10=-11(x-6)+1,
12+ 4x +10=-11x +66+1 (combine like terms)
4x +22= -11x+67 (move the x to the left of the equal sign)
4x +11x +22=11x-11x+ 67 (combine like terms)
15x +22 = 67
15x +22 -22= 67 -22 (simplify)
15x= 45 (divide to get x)
15x/15 = 45/15
x = 3

to check, substitute 3 for x

4(3+3) +10=-11(3-6) +1
4(6) +10=-11(-3)+1
24+10=33+1
34=34

* remember than when you do a true equation (with an equal sign), what ever you do to one side you need to do to the other side.