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

Question

, 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)
Responses

Add 3 to 75
Add 3 to 75

Distribute values over the variables.
Distribute values over the variables.

Divide 75 by 3.
Divide 75 by 3.

Combine like terms in parentheses.

Answer 1

The next step that simplifies the equation \( 3(x + x - 3) = 75 \) before solving for the variable \( x \) is to distribute values over the variables.

This means you will distribute the 3 into the expression inside the parentheses, leading to the equation \( 3(2x - 3) = 75 \).