If |3x + 4| = 34 - 2x, what is the sum of the two possible values of x?

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Correct answer marked below

-30

-32

Correct

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Official Explanation

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To solve |3x + 4| = 34 - 2x, we consider two cases. Case 1: When 3x + 4 is positive, we have 3x + 4 = 34 - 2x. Solving for x gives us x = 6. Case 2: When 3x + 4 is negative, we have -(3x…

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Comments

PalakFeb 26, 2025

thank you taking time to upload it!

hamnahJul 2, 2024

good question

What this question tests

What it tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Common trap

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.