7. Dok solved an equation tor s. tile work te shown betow. How thany soluttons are there to thte bqumton? \[ \begin{array}{c} 3 x-6=3(x-2) \\ 3 x-6=3 x-6 \\ 3 x-3 x-6=3 x-3 x-6 \\ 6=-6 \end{array} \]

Dok's equation ultimately simplifies to \(6 = -6\), which is a contradictory statement. Whenever the simplification of an equation leads to a false statement like this, it indicates that there are no values of \(x\) that can satisfy the equation. In essence, this means the equation has no solutions. This type of outcome is common in algebra, and it serves as a reminder to double-check each step in your calculations. A common mistake is assuming there is always an answer; instead, understanding when an equation is inconsistent prepares you for more complex problem-solving scenarios. Always keep an eye out for contradictions while solving!