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SAT® Math

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Difficult

Find the Missing Coefficient

SATMAT-LATINF

What value for the coefficient, $ C $, will cause the equation:

$$ \cfrac { Cx - 3 }{ 5 } + 1 = \cfrac { 2 }{ 5 } +2x $$

...to have infinitely many solutions?

A

$ -\cfrac { 1 }{ 5 } $

B

$ 0 $

C

$ \cfrac { 3 }{ 5 } $

D

$ 10 $