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40 votes
40 votes
3. Find the value of x that makes a||b. 9x - 44 6x + 10 b A. 18 B. 14.4 15 C. 911 15 D. 6​

User Omer Maki
by
2.3k points

1 Answer

24 votes
24 votes
Answer is A. 18

EXPLANATION-

Its Simplifying
(9x + -44) = (6x + 10)

Reorder the terms:
(-44 + 9x) = (6x + 10)

Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)

Reorder the terms:
-44 + 9x = (10 + 6x)

Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x

Solving
-44 + 9x = 10 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10

Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44

Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44

Combine like terms: 10 + 44 = 54
3x = 54

Divide each side by '3'.
x = 18

Simplifying
x = 18
User Vinayak Sarawagi
by
2.7k points
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