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100=105.9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
105.9x=100
Swap sides so that all variable terms are on the left hand side.
x=\frac{100}{105.9}
Divide both sides by 105.9.
x=\frac{1000}{1059}
Expand \frac{100}{105.9} by multiplying both numerator and the denominator by 10.