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First, simplify the equation: absolute (3x-1) = absolute (x+5) absolute (2x) = absolute (6) absolute (x) = absolute (3) which really means plus or minus 3, or, (+/-3) Now you have x = +/- 3, so test out x = 3 and x = -3. Test out x = 3: absolute (3*3-1) = absolute (3+5) absolute (9-1) = absolute (8) ---> absolute 8 = absolute 8 --> 8=8 which is correct! Now test x = -3 absolute (3*(-3)-1) = absolute (-3+5) ---> absolute (-9-1) = absolute (2) absolute (-10) = absolute 2 ---> 10 = 2 Since 10 does not equal 2, this is not a correct answer. Therefore x = 3.

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Q: What is The absolute value of three x minus one equals the absolute value of x plus five?

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