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x+177.1-0.7x=0.7777
Use the distributive property to multiply 253-x by 0.7.
0.3x+177.1=0.7777
Combine x and -0.7x to get 0.3x.
0.3x=0.7777-177.1
Subtract 177.1 from both sides.
0.3x=-176.3223
Subtract 177.1 from 0.7777 to get -176.3223.
x=\frac{-176.3223}{0.3}
Divide both sides by 0.3.
x=\frac{-1763223}{3000}
Expand \frac{-176.3223}{0.3} by multiplying both numerator and the denominator by 10000.
x=-\frac{587741}{1000}
Reduce the fraction \frac{-1763223}{3000} to lowest terms by extracting and canceling out 3.