Skylar has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 7.5 points for each visit to the movie theater. She needs 160 points for a free movie ticket. Write and solve an equation which can be used to determine x, the number of visits Skylar must make to earn a free movie ticket.

In order to win the free movie ticket, Skylar must visit the theater 10 times

The equation that can be used to represent the explanation given in the question is : 160 = 85 + 7.5x

where x represents the number of cinema visits

Given this equation:  160 = 85 + 7.5x, take the following steps to determine the number of visits Skylar needs to earn the movie ticket:

Combine similar terms

160 - 85 = 7.5x

75 = 7.5x

Divide both sides of the equation by 7.5

75 / 7.5 = x

x = 10

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