To solve the equation \((34 + 29) - x = 75\), first simplify the left side.
Calculate \(34 + 29\): \[ 34 + 29 = 63 \]
Now substitute that back into the equation: \[ 63 - x = 75 \]
Next, isolate \(x\) by subtracting 63 from both sides: \[ -x = 75 - 63 \] \[ -x = 12 \]
Finally, multiply both sides by -1 to solve for \(x\): \[ x = -12 \]
So, the solution is: \[ x = -12 \]