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772500=300\times \frac{24\left(24+1\right)}{2\times 12}x
Multiply both sides of the equation by 100.
772500=300\left(1+24\right)x
Cancel out 2\times 12 in both numerator and denominator.
772500=300\times 25x
Add 1 and 24 to get 25.
772500=7500x
Multiply 300 and 25 to get 7500.
7500x=772500
Swap sides so that all variable terms are on the left hand side.
x=\frac{772500}{7500}
Divide both sides by 7500.
x=103
Divide 772500 by 7500 to get 103.