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The length of the sides of a triangle are x, 2x+2, and 13. If the perimeter of the triangle is 30, what is the value of x?

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Add all the sides up to equal 30 in an equation because you are given the perimeter. The perimeter is the length around a two dimensional shape. This means the perimeter is the length of all the side lengths added together.

(x) + (2x + 2) + (13) = 30

Combine like terms.

3x + 15 = 30

Subtract 15 from both sides.

3x = 15

Divide both sides by 3.


\boxed {x = 5}

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