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Algebra / Linear equations in one variable Difficulty: Medium

13x+6-12x+6=-8

What value of x is the solution to the given equation?

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Explanation

The correct answer is 42 . The expression x+6 is a factor of both terms on the left-hand side of the given equation. Therefore, the given equation can be written as x+613-12=-8, or x+6-16=-8. Multiplying each side of this equation by - 6 yields x+6=48. Subtracting 6 from each side of this equation yields x=42. Therefore, the value of x that is the solution to the given equation is 42 .