Let's solve the equation step by step.

The given equation is:

$-3(x + 3) = -9x + 15$

Step 1: Distribute the $-3$ on the left side.

$-3x - 9 = -9x + 15$

Step 2: Move the variable terms to one side of the equation.

Add $9x$ to both sides:

$-3x + 9x - 9 = 15$

Combine like terms:

$6x - 9 = 15$

Step 3: Move the constant term to the other side of the equation.

Add 9 to both sides:

$6x = 24$

Step 4: Solve for $x$.

Divide both sides by 6:

$x = 4$

Final Answer:

The solution to the equation is $x = 4$.

Would you like more details or have any questions? Here are some related questions for further practice:

1. Solve the equation $4(x - 2) = 3x + 10$.
2. How would you solve $5 - 2(x + 4) = 3(x - 1)$?
3. What is the solution to $2(x + 5) - 3(x - 2) = 7$?
4. Can you solve the equation $7x - 3(2x + 1) = 14$?
5. Solve the equation $2(3x - 4) + 5 = 4x + 1$.

Tip: Always simplify both sides of the equation before solving for the variable.