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\frac{22}{5}x=70\times 4
Combine 4x and \frac{2}{5}x to get \frac{22}{5}x.
\frac{22}{5}x=280
Multiply 70 and 4 to get 280.
x=280\times \frac{5}{22}
Multiply both sides by \frac{5}{22}, the reciprocal of \frac{22}{5}.
x=\frac{280\times 5}{22}
Express 280\times \frac{5}{22} as a single fraction.
x=\frac{1400}{22}
Multiply 280 and 5 to get 1400.
x=\frac{700}{11}
Reduce the fraction \frac{1400}{22} to lowest terms by extracting and canceling out 2.