32x+1 = 57x-2⇒37x-2 = 52x + 1⇒21x - 6 = 10x + 5⇒21x - 10x = 5 + 6⇒11x = 11⇒x = 1111 = 1

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32x+1=57x-2

\frac{3}{2 x + 1} = \frac{5}{7 x - 2} \Rightarrow 3 (7 x - 2) = 5 (2 x + 1) \Rightarrow 21 x - 6 = 10 x + 5 \Rightarrow 21 x - 10 x = 5 + 6 \Rightarrow 11 x = 11 \Rightarrow x = \frac{11}{11} = 1

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