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if $0 .5 x - 2 .5 = 77 .5 - 0 .3 x$ then x =

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100

$\frac{100}{8}$

answer is C.

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Detailed Solution

$\begin{array}{l} 0 .5 x - 2 .5 = 77 .5 - 0 .3 x \\ 0 .5 x + 0 .3 x = 77 .5 + 2 .5 \\ 0 .8 x = 80 \\ x = \frac{80}{0 .8} \\ x = \frac{800}{8} \\ x = 100 \end{array}$

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