We need to find which of the given equations has $x = 7$ as the solution. Let's check each one by substituting $x = 7$ into the equations.

1. Equation: $9x - 3 = 60$
   Substitute $x = 7$: $9(7) - 3 = 63 - 3 = 60$ This equation is true when $x = 7$.

2. Equation: $4x + 6 = 32$
   Substitute $x = 7$: $4(7) + 6 = 28 + 6 = 34$ This equation is not true when $x = 7$.

3. Equation: $7x - 8 = 76$
   Substitute $x = 7$: $7(7) - 8 = 49 - 8 = 41$ This equation is not true when $x = 7$.

4. Equation: $3x - 1 = -20$
   Substitute $x = 7$: $3(7) - 1 = 21 - 1 = 20$ This equation is not true when $x = 7$.

The correct equation that has $x = 7$ as the solution is the first one: $9x - 3 = 60$

Would you like more details or have any questions?

Here are some related problems:

1. Which equation has the solution $x = 5$?
2. Solve $5x + 2 = 27$ and check the solution.
3. Which equation has the solution $x = 10$?
4. Solve $2x - 7 = 13$.
5. Which equation has the solution $x = -4$?
6. Solve $8x + 3 = 67$.
7. Which equation has the solution $x = 3$?
8. Solve $6x - 4 = 32$.

Tip: When solving equations, always substitute the solution back into the original equation to verify that it satisfies the equation.