What is the reason for each step in the solution of the equation? 4x−1=−2(x+1) drag and drop the reasons into the boxes to correctly complete the table. 4x−1=−2(x+1) 4x−1=−2x−2 6x−1=−2 6x=−1 x=−16 distributive property multiplication or division property of equality commutative property given addition or subtraction property of equality

4x − 1 = −2 (x + 1) ⇒ Given

4x−1=−2x−2⇒ Distributive property (since we've multiplied out -2(x+1))

6x−1=−2 ⇒ Addition or Subtraction Property of Equality (We've added 2x onto the 4x to get 6x)

6x=−1 ⇒ Commutative Property (We've moved -1 to the other side to get the sum -2+1 = -1)

x=−¹/₆ ⇒ Multiplication or Division Property of Equality (We divided both sides by 6)