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100000=0.8979x
Combine x and -x\times 0.1021 to get 0.8979x.
0.8979x=100000
Swap sides so that all variable terms are on the left hand side.
x=\frac{100000}{0.8979}
Divide both sides by 0.8979.
x=\frac{1000000000}{8979}
Expand \frac{100000}{0.8979} by multiplying both numerator and the denominator by 10000.