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10X+4\times 10+7=2\left(5\times 5+2\right)
Multiply both sides of the equation by 10, the least common multiple of 10,5.
10X+40+7=2\left(5\times 5+2\right)
Multiply 4 and 10 to get 40.
10X+47=2\left(5\times 5+2\right)
Add 40 and 7 to get 47.
10X+47=2\left(25+2\right)
Multiply 5 and 5 to get 25.
10X+47=2\times 27
Add 25 and 2 to get 27.
10X+47=54
Multiply 2 and 27 to get 54.
10X=54-47
Subtract 47 from both sides.
10X=7
Subtract 47 from 54 to get 7.
X=\frac{7}{10}
Divide both sides by 10.