Ax Solve: \( 9 x-18=3(3 x-2)-12 \) \( 4 \times \quad \) A \( \quad x=2 \) \( 4 \times \quad \) C \( \quad x=\frac{1}{2} \) \( 4 x \quad D \quad \) infinitely many solutions \( 4 x \quad \)

To solve the equation \( 9x - 18 = 3(3x - 2) - 12 \), let's first simplify both sides. The right side becomes \( 3(3x - 2) - 12 = 9x - 6 - 12 = 9x - 18 \). Thus, the equation simplifies to \( 9x - 18 = 9x - 18 \), indicating that both sides are equal for all values of \( x \). Therefore, there are infinitely many solutions to this equation. This problem shows how equality can be established when every term matches perfectly after simplification. In math, this can happen often, leading to the concept of dependent equations in systems of linear equations, where multiple x values give the same output. Be aware that when solving, always verify the simplifications to catch any potential errors, as that could lead you to misinterpret the solution set!