The table shows the steps for solving the given inequality for x.
7x + 16 < -5(4 - 5x)
select the reason for each step from the drop down menus

Step-by-step explanation:

7x + 16 < -5(4 - 5x)           Given

7x + 16 < (-5)(4) + (-5)(-5x)            used the distributive property

7x + 16 < -20 + 25x          Distributive Property

7x - 7x + 16 < -20 + 25x - 7x        subtract 7x from both sides

16 < -20 + 18x            Subtraction Property of Equality

16 + 20 < -20 + 20 + 18x             add 20 to both sides

36 < 18x               Addition Property of Equality

36/18 < 18x/18             divide both sides by 18

2 < x                  Division Property of Equality

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f is the midpoint of