Question

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) add 3 to 75 divide 75 by 3 distribute values over the variables. combine like terms in parentheses.

Explanation:

Step1: Analyze the equation

The given equation is $3(x + x - 3)=75$. Inside the parentheses, we have $x+x - 3$.

Step2: Combine like - terms

We can combine the $x$ terms inside the parentheses. $x+x=2x$, so the equation becomes $3(2x - 3)=75$.

Answer:

Combine like terms in parentheses.