a) 72:(-3)^2+6.(35-40)
First, we need to simplify the expression inside the parentheses:
35-40 = -5
Next, we need to square -3:
(-3)^2 = 9
Now, we can substitute the simplified values back into the expression:
72:9+6.(-5)
Next, we need to perform the multiplication:
6.(-5) = -30
Now, we can substitute the simplified values back into the expression:
72:9+(-30)
Next, we need to perform the division:
72:9 = 8
Now, we can substitute the simplified values back into the expression:
8+(-30)
Finally, we can perform the addition:
8+(-30) = -22
Therefore, the value of the expression is -22.

b) 164.23-(-46)+(-25)-362+2015^0
First, we need to simplify the expression inside the parentheses:
-(-46) = 46
Next, we need to simplify the exponent:
2015^0 = 1
Now, we can substitute the simplified values back into the expression:
164.23+46+(-25)-362+1
Next, we can perform the addition and subtraction:
164.23+46 = 210.23
210.23+(-25) = 185.23
185.23-362 = -176.77
-176.77+1 = -175.77
Therefore, the value of the expression is -175.77.

c) (-324)-(156+(-324)-56)
First, we need to simplify the expression inside the parentheses:
(-324)-(-324) = 0
Next, we need to perform the addition:
156+0 = 156
Now, we can substitute the simplified values back into the expression:
(-324)-156+56
Next, we can perform the addition and subtraction:
(-324)-156 = -480
-480+56 = -424
Therefore, the value of the expression is -424.

d) -25-(30+x)=-(28+8)
First, we need to simplify the expression inside the parentheses:
28+8 = 36
Next, we can substitute the simplified values back into the expression:
-25-(30+x)=-(36)
Next, we need to distribute the negative sign:
-25-30-x=-36
Now, we can combine like terms:
-55-x=-36
Next, we can isolate the variable by adding x to both sides:
-55-x+x=-36+x
-55=-36+x
Next, we can isolate the variable by subtracting 36 from both sides:
-55-36=x
-91=x
Therefore, the value of x is -91.

e) x-(17-8)=2x+5-(-3-2)
First, we need to simplify the expression inside the parentheses:
17-8 = 9
Next, we can substitute the simplified values back into the expression:
x-9=2x+5-(-3-2)
Next, we need to simplify the expression inside the parentheses:
-3-2 = -5
Now, we can substitute the simplified values back into the expression:
x-9=2x+5-(-5)
Next, we need to distribute the negative sign:
x-9=2x+5+5
Now, we can combine like terms:
x-9=2x+10
Next, we can isolate the variable by subtracting 2x from both sides:
x-2x-9=2x-2x+10
-x-9=10
Next, we can isolate the variable by adding 9 to both sides:
-x-9+9=10+9
-x=19
Finally, we can solve for x by multiplying both sides by -1:
x=-19
Therefore, the value of x is -19.