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christinaperez
Let's solve your equation step-by-step.

|3x+1|=1

Solve Absolute Value.

|3x+1|=1

We know either 3x+1=1 or 3x+1=−1

3x+1=1(Possibility 1)

3x+1−1=1−1(Subtract 1 from both sides)

3x=0

3x/3 = 0/3(Divide both sides by 3)

3x+1=−1(Possibility 2)

3x+1−1=−1−1(Subtract 1 from both sides)

3x=−2

x=0

3x/3 = −2/3(Divide both sides by 3)

x=−2/3

Answer:

x=0 or x=−2/3
abidemiokin

The solution to the equation are 0 and -2/3

Absolute value equation

Given the  absolute value equation | 3x+1 | = 1

If the equation is positive;

3x+1 = 1

3x = 0

x = 0/3

x = 0

If the absolute equation is negative;

-(3x+1) = 1

-3x - 1  = 1

-3x = 2

x = -2/3

Hence the solution to the equation are 0 and -2/3

Learn more on absolute value equation here: https://brainly.com/question/174924

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