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20\left(4\times 3+1\right)x=4500
Multiply both sides of the equation by 300, the least common multiple of 100,3.
20\left(12+1\right)x=4500
Multiply 4 and 3 to get 12.
20\times 13x=4500
Add 12 and 1 to get 13.
260x=4500
Multiply 20 and 13 to get 260.
x=\frac{4500}{260}
Divide both sides by 260.
x=\frac{225}{13}
Reduce the fraction \frac{4500}{260} to lowest terms by extracting and canceling out 20.