4*(1 3/4x+1 1/2)=10,9

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To solve this equation, you need to first distribute the 4 on the left side of the equation:

4 (1 3/4x + 1 1/2) = 10.9
4 (7/4x + 3/2) = 10.9

Next, multiply 4 by each term inside the parentheses:

4 7/4x + 4 3/2 = 10.9
7x + 6 = 10.9

Now, subtract 6 from both sides to isolate the term with x:

7x = 10.9 - 6
7x = 4.9

Finally, divide both sides by 7 to find the value of x:

x = 4.9 / 7
x = 0.7

Therefore, the value of x is 0.7.