Respuesta :
The expression is equivalent to [tex]\rm 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)[/tex].
Given that
Expression; [tex]2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )[/tex]
We have to determine
Which expressions are equivalent to the given expression.
According to the question
Expression; [tex]2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )[/tex]
To solve the given expression follow all the steps given below.
By applying the distributive property of multiplication;
[tex]\rm a(b+c) = ab +ac[/tex]
Then,
The equivalent expression is,
[tex]= 2 \left ( \dfrac{3}{4}x+7 \right ) -3 \left ( \dfrac{1}{2}x - 5 \right )\\ \\ = ( 2 \times \dfrac{3}{4}x) + ( 2\times 7 ) -(3 \times \dfrac{1}{2}x)-( 3 \times - 5 )\\ \\ = 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)[/tex]
Hence, the expression is equivalent to [tex]\rm 2(\dfrac{3}{4}x ) + 2(7) + (-3) ( \dfrac{1}{2}x) + (-3) (-5)[/tex].
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