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x<\frac{8.4}{0.7}
Divide both sides by 0.7. Since 0.7 is positive, the inequality direction remains the same.
x<\frac{84}{7}
Expand \frac{8.4}{0.7} by multiplying both numerator and the denominator by 10.
x<12
Divide 84 by 7 to get 12.