a.3+|2x-1|=2 b.11-(15+11-2x)=x-(25-9) c.-3x-12=(-9)-(-15+2x) d.2-x=15-(-5+2x)

a.3+|2x-1|=2 b.11-(15+11-2x)=x-(25-9) c.-3x-12=(-9)-(-15+2x) d.2-x=15-(-5+2x)

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  1. a. `3 + |2x – 1 |` `=` `2`

    `⇔` `| 2x – 1 | = -1`

    `⇔` `x=⦰`

    b. `11 – ( 15 + 11 – 2x) = x – ( 25 – 9 )`

    `⇔` `11 – (15 + 11 – 2x) = x-16`

    `⇔` `11 – (26 – 2x) = x – 16`

    `⇔` `11-26+2x` `=` `x-16`

    `⇔` `-15+2x` `=` `x-16`

    `⇔` `-15+16` `=` `x-2x`

    `⇔` `1` `=` `-x`

    `⇔` `x` `=` `-1`

    c. `-3x-12 = (-9)-(-15+2x)`

    `⇔` `-3x-12 = (-9)+15-2x`

    `⇔` `-3x-12 = 6-2x`

    `⇔` `-3x+2x = 6+12`

    `⇔` `x = 18`

    d. `2 – x = 15 – (-5 + 2x)`

    `⇔` `2-x = 15-5-2x`

    `⇔` `2-x = 10-2x`

    `⇔` `2-10 = x-2x`

    `⇔` `-8 = x`

    `⇔` `x = -8`

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