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  1. <queryresult success="true" error="false" numpods="4" datatypes="Solve" timedout="" timedoutpods="" timing="1.2770000000000001" parsetiming="0.41500000000000004" parsetimedout="false" recalculate="" id="MSPa1074519d49ide6f930bcd000066b5bd1icf12idfh" host="http://www4b.wolframalpha.com" server="10" related="http://www4b.wolframalpha.com/api/v2/relatedQueries.jsp?id=MSPa1074619d49ide6f930bcd0000298e3aa6fa1ih9306568059217232548068" version="2.6">
  2. <pod title="Input interpretation" scanner="Identity" id="Input" position="100" error="false" numsubpods="1">
  3. <subpod title="">
  4. <plaintext>solve 3 x - 7 = 11</plaintext>
  5. </subpod>
  6. </pod>
  7. <pod title="Results" scanner="Solve" id="Result" position="200" error="false" numsubpods="2" primary="true">
  8. <subpod title="">
  9. <plaintext>x = 6</plaintext>
  10. </subpod>
  11. <subpod title="Possible intermediate steps">
  12. <plaintext>Solve for x:
  13. 3 x - 7 = 11
  14. Add 7 to both sides:
  15. 3 x + (7 - 7) = 7 + 11
  16. 7 - 7 = 0:
  17. 3 x = 11 + 7
  18. 11 + 7 = 18:
  19. 3 x = 18
  20. Divide both sides of 3 x = 18 by 3:
  21. (3 x)/3 = 18/3
  22. 3/3 = 1:
  23. x = 18/3
  24. The gcd of 18 and 3 is 3, so 18/3 = (3×6)/(3×1) = 3/3×6 = 6:
  25. Answer: |
  26. | x = 6</plaintext>
  27. </subpod>
  28. <states count="1">
  29. <state name="Hide steps" input="Result__Hide steps" />
  30. </states>
  31. </pod>
  32. </queryresult>
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