To solve this equation, we need to isolate x by following the order of operations (PEMDAS).

First, let's simplify the expression step by step:

(27x - 14) / 10 = 2.7x - 1.42.7x - 1.4 + 114 = 2.7x + 112.6(2.7x + 112.6) / 11 = 0.245x + 10.23640.245x + 10.2364 + 189 = 0.245x + 199.2364

Now the equation is:

0.245x + 199.2364 = 200

Subtract 199.2364 from both sides:

0.245x = 0.7636

Divide by 0.245:

x ≈ 3.1167

Therefore, the value of x that satisfies the equation is approximately 3.1167.