-4(x+1)-3(7x-8)=-55

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Solution for -4(x+1)-3(7x-8)=-55 equation: 


Simplifying
-4(x + 1) + -3(7x + -8) = -55

Reorder the terms:
-4(1 + x) + -3(7x + -8) = -55
(1 * -4 + x * -4) + -3(7x + -8) = -55
(-4 + -4x) + -3(7x + -8) = -55

Reorder the terms:
-4 + -4x + -3(-8 + 7x) = -55
-4 + -4x + (-8 * -3 + 7x * -3) = -55
-4 + -4x + (24 + -21x) = -55

Reorder the terms:
-4 + 24 + -4x + -21x = -55

Combine like terms: -4 + 24 = 20
20 + -4x + -21x = -55

Combine like terms: -4x + -21x = -25x
20 + -25x = -55

Solving
20 + -25x = -55

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -25x = -55 + -20

Combine like terms: 20 + -20 = 0
0 + -25x = -55 + -20
-25x = -55 + -20

Combine like terms: -55 + -20 = -75
-25x = -75

Divide each side by '-25'.
x = 3

Simplifying
x = 3

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