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24+25x\left(-36\right)=25\times 24
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 25x, the least common multiple of 25x,x.
24-900x=25\times 24
Multiply 25 and -36 to get -900.
24-900x=600
Multiply 25 and 24 to get 600.
-900x=600-24
Subtract 24 from both sides.
-900x=576
Subtract 24 from 600 to get 576.
x=\frac{576}{-900}
Divide both sides by -900.
x=-\frac{16}{25}
Reduce the fraction \frac{576}{-900} to lowest terms by extracting and canceling out 36.