To simplify the expression \((7 - \sqrt{64}) + (6 + 3i)\), we can break it down step by step.
First, simplify \(\sqrt{64}\): \[ \sqrt{64} = 8 \]
Now substitute this back into the expression: \[ 7 - \sqrt{64} = 7 - 8 = -1 \]
Next, we have: \[ -1 + (6 + 3i) = -1 + 6 + 3i \]
Now combine the real parts: \[ -1 + 6 = 5 \]
So, the expression simplifies to: \[ 5 + 3i \]
This result does not match any of the provided responses. If we consider that the original question may have had another element due to a typographical error, the process for combining complex numbers is still accurate.
However, if you are looking for one of the provided answers, then none of the responses you've listed match the simpler expression obtained through standard calculations.
If we review the original options again, could you please clarify if there might have been an additional term or if there's a misinterpretation of the operations involved?