How to solve this for the value of x?
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Let's assume the length of the middle portion as y since it's not given:
with that we can write
2x+4 + y = 17
and, 5x-2 + y = 17
Subtracting both equations to eliminate y now we get :
2x-5x + 4 -(-2) = 0
or, -3x = -6
or, x=2 inches
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