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13\left(2\times 4+1\right)=4x\times \frac{1}{4}
Multiply both sides of the equation by 20, the least common multiple of 5,4.
13\left(8+1\right)=4x\times \frac{1}{4}
Multiply 2 and 4 to get 8.
13\times 9=4x\times \frac{1}{4}
Add 8 and 1 to get 9.
117=4x\times \frac{1}{4}
Multiply 13 and 9 to get 117.
117=x
Cancel out 4 and 4.
x=117
Swap sides so that all variable terms are on the left hand side.