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Answer 1

Question

$\sf \: \frac{4x + 7}{3} = \frac{3x - 2}{4} + \frac{1}{2}$

Sept By step explanation

$\Rightarrow \sf \: \dfrac{4x + 7}{3} = \dfrac{3x - 2}{4} + \dfrac{1}{2}$

$\Rightarrow \sf \: \dfrac{4x + 7}{3} = \dfrac{3x - 2 + 2}{4}$

$\Rightarrow \sf \: \dfrac{4x + 7}{3} = \dfrac{3x }{4}$

$\Rightarrow \sf \: 4(4x + 7) = 3(3x)$

$\Rightarrow\sf \: 16x + 28 = 9x$

$\Rightarrow\sf \:16x - 9x = - 28$

$\Rightarrow\sf \: 7x = - 28$

$\Rightarrow\sf \: x = {\dfrac{\cancel{-28}}{\cancel7}}^{-4}$

$~~~~~\sf \:x = - 4$

Answer 2

Step-by-step explanation:

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