Step 1 :We are given that \(\int_{0}^{1} f(x) d x=-3\) and \(\int_{1}^{6} f(x) d x=-8\).
Step 2 :We can add these two integrals to find the integral of f(x) from 0 to 6, which is \(-3 + -8 = -11\).
Step 3 :We are also given the integral of \(-4-7f(x)\) from 0 to 6. We can find this by integrating -4 from 0 to 6, which is \(-4 * 6 = -24\), and subtracting 7 times the integral of f(x) from 0 to 6, which is \(7 * -11 = -77\).
Step 4 :So, the integral of \(-4-7f(x)\) from 0 to 6 is \(-24 - -77 = 53\).
Step 5 :Final Answer: The integral of \(-4-7f(x)\) from 0 to 6 is \(\boxed{53}\).