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0.77x-43.18=47
Swap sides so that all variable terms are on the left hand side.
0.77x=47+43.18
Add 43.18 to both sides.
0.77x=90.18
Add 47 and 43.18 to get 90.18.
x=\frac{90.18}{0.77}
Divide both sides by 0.77.
x=\frac{9018}{77}
Expand \frac{90.18}{0.77} by multiplying both numerator and the denominator by 100.