To solve the first equation, we need to isolate x.

Start by subtracting 34 from both sides:
34 - x = 86

Then, subtract 34 from both sides to solve for x:
-x = 52

Finally, multiply both sides by -1 to solve for x:
x = -52

Therefore, the solution to the first equation is x = -52.

To solve the second equation, we need to isolate x.

Start by multiplying both sides by (x+219):
9680 = 16(x + 219)

Expand the right side:
9680 = 16x + 3504

Subtract 3504 from both sides:
6176 = 16x

Divide both sides by 16 to solve for x:
x = 386

Therefore, the solution to the second equation is x = 386.