Solve the equations:

(11) 10 – 2x = 17 – 7x

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Solution

10 – 2x = 17 – 7x
Adding 7x to both sides, we obtain:
10 – 2x + 7x = 17 – 7x + 7x
$\Rightarrow$ 10 + 5x = 17
Subtracting 10 from both sides, we obtain:
10 + 5x – 10 = 17 – 10
$\Rightarrow$ 5x = 7
Dividing both sides by 5, we obtain:
$\frac{5 x}{5} = \frac{7}{5} \Rightarrow x = \frac{7}{5}$

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