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

3
(
𝑥
+
𝑥
−
3
)
=
75
, where x
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

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

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

Divide 75 by 3.
Divide 75 by 3.

Add 3 to 75

Answer 1

The next step to simplify the equation \(3(x + (x - 3)) = 75\) would be to combine like terms in parentheses.

This means you would simplify what's inside the parentheses first before proceeding with any further calculations. So the expression would become \(3(2x - 3) = 75\).