What is the value of x?

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x =

x = 11

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

then 6/(6 + 48) = 5/(5 + 3x + 7)

6(3x + 12) = 5(54)

18x + 72 = 270

18x = 198

x = 11

x=11

Step-by-step explanation:

the ratio of 6:5 is 1.2 and you can do that by dividing 6 by 5

after that add 48 and 6 which is 54.

54/1.2 is 45 and then

45 = 3x + 7 + 5

45 = 3x + 12

subtract 12 on both sides you get 33 = 3x

divide 3 on both sides and you get x = 11

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

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step-by-step explanation: