Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

Add 6 to both sides and divide by −2: |8 − x| = 3. This gives 8 − x = 3 or 8 − x = −3, so the solutions are x = 5 and x = 11. Johan’s x = −11 is incorrect, so he made a sign error; choice B is correct.

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