Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
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Transpose = -2x = 4x – 20
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Addition or Subtraction Property of Equality = -6x = -20
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Division property of equality = x = 20/6
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Simplify = x = 10/3