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24x=7\times 6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7,x.
24x=42
Multiply 7 and 6 to get 42.
x=\frac{42}{24}
Divide both sides by 24.
x=\frac{7}{4}
Reduce the fraction \frac{42}{24} to lowest terms by extracting and canceling out 6.