Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2

The absolute value equation has two cases: 0.5x + 1.5 = 0.5, which gives the shown solution x = −2, or 0.5x + 1.5 = −0.5. For the second case, subtract 1.5 to get 0.5x = −2, then divide by 0.5 to get x = −4. The other solution is choice B, x = −4.

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