Let's solve the equation step by step:

1. Distribute the \(4\) on the left side:
   \[
   4(x - 3) = 4x - 12
   \]
   So, the equation becomes:
   \[
   4x - 12 = -4
   \]

2. Add \(12\) to both sides to isolate the \(4x\) term:
   \[
   4x - 12 + 12 = -4 + 12
   \]
   Simplifying:
   \[
   4x = 8
   \]

3. Divide both sides by \(4\) to solve for \(x\):
   \[
   x = \frac{8}{4} = 2
   \]

Thus, the solution is:
\[
x = 2
\]

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Solve: \(5(x + 4) = 10\)
2. Solve: \(2(x - 5) = 6\)
3. Solve: \(6(x + 2) = -12\)
4. Solve: \(3(x - 7) = 15\)
5. Solve: \(7x - 14 = 0\)

**Tip**: Always distribute the number outside the parentheses first before solving for the variable!

Learn how to solve the linear equation 4(x - 3) = -4 with a detailed, step-by-step solution. This problem involves key algebraic concepts like the distributive property and equality principle. Perfect for students in Grades 6-8.

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