Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8. What was the value of b?
A. –6
B. –2
C. 2
D. 10

C

Step-by-step explanation:

Begin by removing the brackets

4x + 5(-4x - b) = -16x - 5b

-(x - 2) = -x + 2

Add the two binomials together to get the third one

4x -20x - 5b - x + 2 = -17x - 8                 Combine the like terms on both sides

-17x - 5b +2 = -17x - 8                             Add 17x to both sides

-5b + 2 = - 8                                           Subtract 2 from both sides

-5b +2 -2 =- 8 -2                                     Combine    

-5b =  - 10                                               Divide by -5

b = -10/-5

b = 2

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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5

step-by-step explanation: