Given:
#{:
([1],color(white)("XXX"),,y,-2z," = ",-6),
([2],color(white)("XXX"),-4x,+y,+4z," = ",44),
([3],color(white)("XXX"),-4x,,+2z," = ",30)
:}#
Subtract [3] from [2]
#{:([4],color(white)("XXX"),color(white)("XXX"),y,+2z," = ",14):}#
Subtract [1] from [4]
#{:([5],color(white)("XXX"),color(white)("XXX"),color(white)("XX"),+4z," = ",20):}#
Divide [5] by #4#
#{:([5],color(white)("XXX"),color(white)("XXX"),color(white)("XX"),z," = ",5):}#
Substitute #5# for #z# in [1]
#{:([6],color(white)("XXX"),color(white)("XXX"),y,-2(5)," = ",-6):}#
Add #10# to both sides of [6]
#{:([7],color(white)("XXX"),color(white)("XXX"),y,color(white)("XX")," = ",4):}#
Substitute #5# for #z# in [3]
#{:([8],color(white)("XXX"),-4x,color(white)("XX"),+2(5)," = ",30):}#
Simplify
#{:([9],color(white)("XXXXX"),x,color(white)("XX"),color(white)("XX")," = ",-5):}#