Question 148139
The way to solve these types of problems is to get all the constants on one side and all the terms with x in them on the other. Then simplfy.

Let's do the first one
41: 4(3+x)+10= -11(x-6)+1 
First expand both sides using distribution
12+4x + 10 = -11x + 66 + 1
Now combine like terms
22 + 4x = 67 - 11x
Now get the constants on one side and the x terms on the other
4x + 11x = 67 - 22
Combine like terms again
15x = 55 
Now isolate x by diving both sides by 15
x = 55/15 = 11/3

Check you answer by using 11/3 as x in the original problem and verifying that both sides are equal

43 is easier.
3x+21 = -2x + 11
same steps. get constants on one side, x term on the other
3x + 2x = 11 - 21
combine like terms
5x = -10
x = -2

I bet you can do 45 now. Give it a go and ing me if you cant get it