Let's solve the equation:

\[
-7(3x - 9) - x = 173
\]

### Step 1: Distribute \(-7\) across the terms inside the parentheses
\[
-7(3x - 9) = -21x + 63
\]
So the equation becomes:
\[
-21x + 63 - x = 173
\]

### Step 2: Combine like terms on the left-hand side
\[
-21x - x = -22x
\]
Now the equation is:
\[
-22x + 63 = 173
\]

### Step 3: Move the constant term to the other side
Subtract 63 from both sides:
\[
-22x = 173 - 63
\]
\[
-22x = 110
\]

### Step 4: Solve for \(x\)
Divide both sides by \(-22\):
\[
x = \frac{110}{-22}
\]
\[
x = -5
\]

So, the solution is:
\[
x = -5
\]

Would you like more details or further clarification on this solution?

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Here are 5 related questions for practice:
1. Solve \( 5(2x - 3) + x = 25 \).
2. Solve \( -4(6x + 2) + 8 = -32 \).
3. Solve \( 2(3x - 1) - 5x = 9 \).
4. Solve \( -3(2x + 5) - 4x = 7 \).
5. Solve \( 8x - 6(3x - 4) = 24 \).

**Tip:** Always simplify the equation step-by-step to avoid errors, especially when distributing and combining like terms.

Learn how to solve the linear equation -7(3x - 9) - x = 173 step-by-step. This problem involves using the distributive property and combining like terms to find the value of x. Ideal for students in Grades 7-9 learning algebraic equations.

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