The expression on the left side of an equation is shown below.

Question

Negative 6 x + 6 = box

If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?
–6
1
Negative 6 x
Negative 6 x + 6

Answer 1

For the equation to have an infinite number of solutions, both sides of the equation must be equivalent.

Starting with the expression on the left side:

\[ -6x + 6 = \text{box} \]

If we set the box to be the same as the left side, we can express it as:

\[ \text{box} = -6x + 6 \]

Therefore, "Negative 6 x + 6" can be written in the box on the other side of the equation for there to be an infinite number of solutions.

Thus, the correct answer is:

Negative 6 x + 6.