1. **State the problem:** Solve the equation $$3(x - 1) = 2x + 9$$ for $x$.
2. **Use the distributive property:** Multiply 3 by each term inside the parentheses:
$$3(x - 1) = 3x - 3$$
So the equation becomes:
$$3x - 3 = 2x + 9$$
3. **Isolate the variable terms on one side:** Subtract $2x$ from both sides:
$$3x - 2x - 3 = 9$$
Simplify:
$$x - 3 = 9$$
4. **Isolate $x$:** Add 3 to both sides:
$$x = 9 + 3$$
$$x = 12$$
5. **Conclusion:** The solution to the equation is $x = 12$.
This means the correct answer is the option labeled "x = 12".
Solve Linear Equation 15Dc59
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