Find and correct the errors in the following mathematical statements.
$x (3 x + 2) = 3 x^{2} + 2 5 y + 2 y + y - 7 y = 0$ `

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Solution

$1) x (3 x + 2) = 3 x^{2} + 2$
Here, the product of $x$ with $3 x + 2$ is not correct.
The correct product will be :
$x (3 x + 2) = 3 x^{2} + 2 x$

$2) 5 y + 2 y + y - 7 y = 0$
Here, the right hand side will not be zero.
The correct mathematical statement will be :
$5 y + 2 y + y - 7 y = y$

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