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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

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[tex] \qquad \sf  \dashrightarrow \: 4(5x - 2) = 2(9x + 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 20x - 8 = 18x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 20x - 18x = 6 + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 14[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 14 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7[/tex]

Therefore value of x is 7

By solving the linear equation, we will see that the solution is x = 7.

Solving a linear equation:

Here we need to solve the equation:

[tex]4*(5x - 2) = 2*(9x + 3)[/tex]

First, we should distribute the two products to get:

[tex]4*5x - 4*2 = 2*9x + 2*3\\\\20x - 8 = 18x + 6[/tex]

Now we move the terms with x to the left, and the terms without x to the right.

[tex]20x - 8 = 18x + 6\\\\20x - 18x = 6 + 8\\\\2x = 14\\\\[/tex]

Now we can divide both sides by 2 to get:

[tex]x = 14/2 = 7\\x = 7[/tex]

So the solution of the linear equation is x = 7.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

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