To solve the expression \(4.2 + (2.01 - 0.3 \cdot 1.2)\), we will follow the order of operations:
Calculate \(0.3 \cdot 1.2\): \[ 0.3 \cdot 1.2 = 0.36 \]
Now substitute that back into the expression: \[ 2.01 - 0.36 \]
Perform the subtraction: \[ 2.01 - 0.36 = 1.65 \]
Now add this result to \(4.2\): \[ 4.2 + 1.65 = 5.85 \]
Thus, the final result is: \[ \boxed{5.85} \]