To solve for x in the first equation:

165 + 45x = 300
Subtract 165 from both sides:
45x = 135
Divide by 45:
x = 3

Now, substitute x=3 into the second equation to check if it is correct:

(198 + 3) / 2 = 560
201 / 2 = 560
100.5 = 560

Since 100.5 is not equal to 560, the value of x=3 does not satisfy the equation. Let's try to solve the second equation again:

(198 + x) / 2 = 560
198 + x = 1120
x = 1120 - 198
x = 922

Therefore, x = 922 satisfies the second equation.