Which equation models the scoring in the final round and the outcome of the contest?

To determine which equation models the scoring in the final round and the contest outcome, we should rearrange each option to see if they represent a valid scoring situation based on comparable terms.

Let’s look at each equation:

A. 4x – 12 + 132 = 12x + 56

Rearranging gives us (4x + 120 = 12x + 56).

This simplifies to (120 – 56 = 12x – 4x), which is valid.

B. 12x + 4x – 132 = 12x + 56

Simplifying gives us (16x – 132 = 12x + 56).

Rearranging leads to (4x = 188) which is also valid.

C. 12x – 4x + 132 = 12x + 56

This simplifies to (8x + 132 = 12x + 56).

Rearranging gives (76 = 4x), which is valid.

D. 12x – 4x – 132 = 12x + 56

This simplifies to (8x – 132 = 12x + 56).

Rearranging gives (-132 – 56 = 4x), leading to a different validity.

Depending on the context of the problem, each equation