Let's simplify the expression step by step.
The expression is: \[ (2670 + 6 \cdot (240 - 43 \cdot x) \cdot 5) : 50 + 72 \cdot 3 \]
Calculate \(72 \cdot 3\): \[ 72 \cdot 3 = 216 \]
Calculate \(240 - 43 \cdot x\) and then multiply by \(6 \cdot 5 = 30\): \[ 6 \cdot (240 - 43 \cdot x) \cdot 5 = 30 \cdot (240 - 43 \cdot x) = 30 \cdot 240 - 30 \cdot 43 \cdot x = 7200 - 1290 \cdot x \]
Add this to \(2670\): \[ 2670 + (7200 - 1290 \cdot x) = 9870 - 1290 \cdot x \]
Now divide by \(50\): \[ (9870 - 1290 \cdot x) : 50 = \frac{9870}{50} - \frac{1290 \cdot x}{50} = 197.4 - 25.8 \cdot x \]
Combine the two parts: \[ 197.4 - 25.8 \cdot x + 216 = 413.4 - 25.8 \cdot x \]
Thus, the simplified expression is: \[ 413.4 - 25.8 \cdot x \]