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Kyle Hancock
Mathematics
13 November, 23:44
12 = - 4 (-6x - 3) + 24
+3
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1
)
Finley Cochran
13 November, 23:50
0
x = - 1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = - 24:
24 x = - 24
Divide both sides of 24 x = - 24 by 24:
(24 x) / 24 = (-24) / 24
24/24 = 1:
x = (-24) / 24
The gcd of - 24 and 24 is 24, so (-24) / 24 = (24 (-1)) / (24*1) = 24/24*-1 = - 1:
Answer: x = - 1
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