-7(3x+6)-4(-7+5x)=27

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Solution for -7(3x+6)-4(-7+5x)=27 equation: 


Simplifying
-7(3x + 6) + -4(-7 + 5x) = 27

Reorder the terms:
-7(6 + 3x) + -4(-7 + 5x) = 27
(6 * -7 + 3x * -7) + -4(-7 + 5x) = 27
(-42 + -21x) + -4(-7 + 5x) = 27
-42 + -21x + (-7 * -4 + 5x * -4) = 27
-42 + -21x + (28 + -20x) = 27

Reorder the terms:
-42 + 28 + -21x + -20x = 27

Combine like terms: -42 + 28 = -14
-14 + -21x + -20x = 27

Combine like terms: -21x + -20x = -41x
-14 + -41x = 27

Solving
-14 + -41x = 27

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -41x = 27 + 14

Combine like terms: -14 + 14 = 0
0 + -41x = 27 + 14
-41x = 27 + 14

Combine like terms: 27 + 14 = 41
-41x = 41

Divide each side by '-41'.
x = -1

Simplifying
x = -1

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