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Absolute Value (with extra terms)

Find the value of $x$ in the absolute value equations:

  1. $|x|+2=8$
  2. $|x|-7=9$
  3. $2|x|+6=2$
  4. $|x+7|+1=10$
  5. $|x-2|-9=-1$
  6. $3|x-1|+1=4$
  7. $-2|x+7|-9=-5$
  8. $-|3x|+2=12$
  9. $-4|2x-11|+20=10$
  10. $3|2x|+19=17$
  11. $-5|-2x+4|-8=2$
  12. $-|-9x-3|-2=-8$