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%0D%0A3%0D%0A(%0D%0A%0D%0A+%0D%0A%0D%0A−%0D%0A3%0D%0A)%0D%0A=%0D%0A75%0D%0A , where x%0D%0A%0D%0A represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable. (1 point)
The next step would be to distribute the 3 to the terms inside the parentheses: 3x + 3(x-3) = 75.
The next step is to simplify the equation by combining like terms. In this case, we can simplify 3(x + x - 3) to 3(2x - 3) or 6x - 9.
The next step is to simplify the equation before solving for the variable. To do this, you need to distribute the 3 to both terms inside the parentheses. This yields:
3(x + x - 3) = 75
Simplifying further would give:
3(2x - 3) = 75
Now you can proceed to solve for the variable x.