Let's solve the equation:

\[
-4 + 7(1 - 3x) = -81
\]

### Step 1: Distribute the 7 across the terms inside the parentheses.
\[
7(1 - 3x) = 7 \cdot 1 - 7 \cdot 3x = 7 - 21x
\]
Substitute this back into the equation:
\[
-4 + 7 - 21x = -81
\]

### Step 2: Combine like terms on the left-hand side.
\[
-4 + 7 = 3
\]
Now the equation is:
\[
3 - 21x = -81
\]

### Step 3: Isolate the term involving \(x\).
Subtract 3 from both sides:
\[
-21x = -81 - 3
\]
\[
-21x = -84
\]

### Step 4: Solve for \(x\).
Divide both sides by \(-21\):
\[
x = \frac{-84}{-21} = 4
\]

So, the solution is:
\[
x = 4
\]

Would you like any additional details or explanations?

Here are 5 related questions to explore:
1. How can you check the solution of a linear equation?
2. What are the common steps for solving any linear equation?
3. How do you solve equations with fractions?
4. What happens if the variable term is on both sides of the equation?
5. How can you graph the solution to this equation?

**Tip:** Always distribute multiplication over parentheses before combining like terms to simplify solving.

Explore the step-by-step solution to solving the linear equation -4 + 7(1 - 3x) = -81. Learn key algebraic concepts like the distributive property and combining like terms, suitable for students in Grades 8-10.

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