To solve the equation 18 + [9 - (-34 + x)] = 25, we can simplify the expression inside the brackets first:

18 + [9 - (-34 + x)] = 25
18 + [9 + 34 - x] = 25
18 + [43 - x] = 25
18 + 43 - x = 25
61 - x = 25

Next, we solve for x by isolating it on one side of the equation:

61 - x = 25
-x = 25 - 61
-x = -36

To solve for x, we multiply both sides of the equation by -1 to change the sign of x:

(-1)(-x) = (-1)(-36)
x = 36

Therefore, x = 36 is the solution to the equation.

Now, let's solve the second equation: 275 - (113 - x) + 63 = 158

First, we simplify the expression inside the brackets:

275 - (113 - x) + 63 = 158
275 - 113 + x + 63 = 158
162 + x + 63 = 158
x + 225 = 158

Next, we solve for x by isolating it on one side of the equation:

x + 225 = 158
x = 158 - 225
x = -67

Therefore, x = -67 is the solution to the second equation.