Final answer:
The solution for x in terms of m is x = (m - 5) / -51.
Step-by-step explanation:
To solve the equation m = 5 - 45x - 6x for x, first, we combine like terms.
The term -45x and -6x are both 'x' terms, so we add their coefficients together (-45 and -6) to get -51x.
Our equation now looks like m = 5 - 51x.
Next, we want to isolate x on one side of the equation.
We do this by subtracting 5 from both sides, which gives us m - 5 = -51x.
Finally, to solve for x, we divide both sides of the equation by -51: x = (m - 5) / -51.
This gives us the solution for x in terms of m.