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Question:
linear equation: (x-0.4)0.5/0.35-(x+6.1)=(x-2.71)0.6/0.42
Answer:

Given, (x - 0.4)0.5/0.35 - (x + 6.1) = (x - 2.71)0.6/0.42

=> (x - 0.4)/7 - (x + 6.1) = (x - 2.71)/7

=> {(x - 0.4) - 7(x + 6.1)}/7 = (x - 2.71)/7

=> x - 0.4 - 7(x + 6.1) = x - 2.71

=> x - 0.4 - 7x + 7 * 6.1 = x - 2.71

=> x - 0.4 - 7x + 42.7 = x - 2.71

=> x - 0.4 - 7x + 42.7 = x - 2.71

=> -0.4 - 7x + 42.7 = -2.71

=> -0.4 + 42.7 + 2.71 = 7x

=> 7x = 45.41 - 0.4

=> 7x = 45.01

=> x = 45.01/7

=> x = 6.43

So, the value of x is 6.43

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