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4\times 501\times 5.2=x\times 7
Multiply both sides of the equation by 100, the least common multiple of 25,100.
2004\times 5.2=x\times 7
Multiply 4 and 501 to get 2004.
10420.8=x\times 7
Multiply 2004 and 5.2 to get 10420.8.
x\times 7=10420.8
Swap sides so that all variable terms are on the left hand side.
x=\frac{10420.8}{7}
Divide both sides by 7.
x=\frac{104208}{70}
Expand \frac{10420.8}{7} by multiplying both numerator and the denominator by 10.
x=\frac{52104}{35}
Reduce the fraction \frac{104208}{70} to lowest terms by extracting and canceling out 2.