To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps? 10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1

The value of x after completing the steps is -16

Given the equation solved by Lorie expressed as":

Expand the bracket using the distributive law as shown:

5x + 20 - 5 = 3x - 18 + 1

Collect the like terms:

5x - 3x = -18 + 1 - 20 + 5

Simplify by adding and subtracting

2x = -32

Divide both sides by 2:

2x/2 = -32/2

x = -16

Hence the value of x after completing the steps is -16

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answer for #1 is c

answer for #2 is d

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