<prompt> Resolve the following algebraic equation: 12x 6 66  <response>: To solve this equation, we need to isolate the variable x on one side of the equation. Heres a step-by-step solution:12x 6 66Step 1: Subtract 6 from both sides to get rid of the constant term on the left side of the equation:12x 6 - 6 66 - 612x 60Step 2: Divide both sides by 12 to isolate x:12x 12 60 12x 5Therefore, the solution to the equation 12x 6 66 is x 5. 