#need help. im confused about this proportion thing

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wet wharf
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What does proportion no.6 supposed to mean? Is it like this in fraction form? (The one i sent below)

wet wharf
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Im so confused rn...

How is
(2x+2)/(x+2)=(x+1)/(2) --> (a+b)/(b)=(c+d)/(d)??

But i thought d = x? But it in the proportion number 4, its d = 2?

grave oar
wet wharf