Let's solve the expression step by step:
Given: \[ 12 + (-1.7 \cdot 7) - (1 - (-1.7 \cdot 3)) \]
Calculate \(-1.7 \cdot 7\): \[ -1.7 \cdot 7 = -11.9 \]
Calculate \(-1.7 \cdot 3\): \[ -1.7 \cdot 3 = -5.1 \]
Substituting the values back into the expression: \[ 12 + (-11.9) - (1 - (-5.1)) \]
Simplify the expression in the parentheses: \[ 1 - (-5.1) = 1 + 5.1 = 6.1 \]
Now substitute back to simplify further: \[ 12 - 11.9 - 6.1 \]
Perform the calculations step by step: \[ 12 - 11.9 = 0.1 \] \[ 0.1 - 6.1 = -6 \]
Therefore, the final result is: \[ \boxed{-6} \]