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the blue lines are parallel write a proportion that could be used to solve for x then find value of x

the blue lines are parallel write a proportion that could be used to solve for x then-example-1

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Due to the blue lines are parallel, you can write the following proportions:

(x + 5)/21 = (x + 3)/15

solve for x as follow:

multiply both sides by the LCM OF 21 and 15, which is 21x15 = 315:

(x + 5)(315/21) = (x+3)(315/15)

15(x + 5) = 21(x+3) apply distribution property

15x + 75 = 21x + 63 subtract 15x and 63 both sides

75 - 63 = 21x - 15x simplify like terms both sides

12 = 6x divide by 6 both sides

12/6 = x

2 = x

x = 2

Hence, the value of x is x = 2

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