4(6+11X)+7(-8X-6)=-12X+3X

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Solution for 4(6+11X)+7(-8X-6)=-12X+3X equation: 


Simplifying
4(6 + 11X) + 7(-8X + -6) = -12X + 3X
(6 * 4 + 11X * 4) + 7(-8X + -6) = -12X + 3X
(24 + 44X) + 7(-8X + -6) = -12X + 3X

Reorder the terms:
24 + 44X + 7(-6 + -8X) = -12X + 3X
24 + 44X + (-6 * 7 + -8X * 7) = -12X + 3X
24 + 44X + (-42 + -56X) = -12X + 3X

Reorder the terms:
24 + -42 + 44X + -56X = -12X + 3X

Combine like terms: 24 + -42 = -18
-18 + 44X + -56X = -12X + 3X

Combine like terms: 44X + -56X = -12X
-18 + -12X = -12X + 3X

Combine like terms: -12X + 3X = -9X
-18 + -12X = -9X

Solving
-18 + -12X = -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
-18 + -12X + 9X = -9X + 9X

Combine like terms: -12X + 9X = -3X
-18 + -3X = -9X + 9X

Combine like terms: -9X + 9X = 0
-18 + -3X = 0

Add '18' to each side of the equation.
-18 + 18 + -3X = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -3X = 0 + 18
-3X = 0 + 18

Combine like terms: 0 + 18 = 18
-3X = 18

Divide each side by '-3'.
X = -6

Simplifying
X = -6

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