Let's simplify the given expression step by step:

$3(x - 1) - (x - 9)$

Step 1: Distribute

Distribute the 3 into the first parentheses:

$3x - 3 - (x - 9)$

Distribute the negative sign into the second parentheses:

$3x - 3 - x + 9$

Step 2: Combine Like Terms

Combine $3x - x$:

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

$2x + 6$

Final Answer:

$\mathbf{2x + 6}$

Would you like a step-by-step breakdown or more details?

Related Questions:

1. How do you factor the expression $2x + 6$?
2. What happens if we set $2x + 6 = 0$ and solve for $x$?
3. Can you apply the distributive property to more complex expressions?
4. How does this problem relate to solving linear equations?
5. What is the effect of parentheses on order of operations?

Tip:

Always distribute negative signs carefully to avoid sign errors!