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solve. \\\\frac{1}{7} - 7x = -7x + \\frac{8}{7}\\ select the correct ch…

Question

solve.

\\\frac{1}{7} - 7x = -7x + \frac{8}{7}\\

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. \\(x = \\) (type an integer or a simplified fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Write down the given equation

$$ \frac{1}{7} - 7x = -7x + \frac{8}{7} $$

Add \(7x\) to both sides of the equation

$$ \frac{1}{7} = \frac{8}{7} $$

Analyze the resulting statement

$$ \frac{1}{7} eq \frac{8}{7} $$

Answer:

  • A. \(x =\) <blank></blank> (Type an integer or a simplified fraction.)
  • B. The solution is all real numbers.
  • C. There is no solution. (Correct answer)