Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. The first step to solving this problem algebraically is to write an equation: 3(x+x−3)=75 , where x represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable. (1 point)

Question

Responses

Divide 75 by 3.
Divide 75 by 3.

Add 3 to 75
Add 3 to 75

Combine like terms in parentheses.
Combine like terms in parentheses.

Distribute values over the variables.

Answer 1

The correct next step to simplify the equation \(3(x + (x - 3)) = 75\) is to:

Distribute values over the variables.

So, you would distribute the 3 across the expression in the parentheses.