Let's solve the equation:

\[
-7(-10 + 3x) = 133
\]

### Step 1: Distribute the \(-7\) on the left-hand side.
\[
-7 \times -10 + (-7) \times 3x = 133
\]
\[
70 - 21x = 133
\]

### Step 2: Subtract 70 from both sides to isolate the term with \(x\).
\[
70 - 21x - 70 = 133 - 70
\]
\[
-21x = 63
\]

### Step 3: Divide both sides by \(-21\) to solve for \(x\).
\[
x = \frac{63}{-21}
\]
\[
x = -3
\]

So, the solution is \(x = -3\).

Would you like further details or have any questions?

### Related Questions:
1. How do you solve equations with distribution?
2. What happens if the sign changes during distribution?
3. How do you isolate variables in multi-step equations?
4. What is the importance of dividing both sides by the same number?
5. How do you verify if the solution is correct?

**Tip:** Always check your solution by substituting it back into the original equation to verify!

Master solving the linear equation -7(-10 + 3x) = 133 through detailed step-by-step guidance. This example covers distribution and solving multi-step algebraic equations, suitable for students in Grades 7-9.

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