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Question
Solve for x:
x+56x+19=x+34 
Options:
A .  −27
B .  −17
C .  7
D .  −57
Answer: Option B
:
B
Given,
x+56x+19=x+34

Multiplying both sides by 36 (LCM of 4, 6 and 9), we get,
(x+56×36)(x+19×36)=(x+34×36)
6(x+5)4(x+1)=9(x+3)
6x+304x4=9x+27
2x+26=9x+27
Transposing 9x from RHS to LHS, and 26 from LHS to RHS, we get,
2x9x=2726
7x=1
Dividing both sides by -7, we get,
x=17

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