-3(4-x)-(x+10)+7-4x=55

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Solution for -3(4-x)-(x+10)+7-4x=55 equation: 


Simplifying
-3(4 + -1x) + -1(x + 10) + 7 + -4x = 55
(4 * -3 + -1x * -3) + -1(x + 10) + 7 + -4x = 55
(-12 + 3x) + -1(x + 10) + 7 + -4x = 55

Reorder the terms:
-12 + 3x + -1(10 + x) + 7 + -4x = 55
-12 + 3x + (10 * -1 + x * -1) + 7 + -4x = 55
-12 + 3x + (-10 + -1x) + 7 + -4x = 55

Reorder the terms:
-12 + -10 + 7 + 3x + -1x + -4x = 55

Combine like terms: -12 + -10 = -22
-22 + 7 + 3x + -1x + -4x = 55

Combine like terms: -22 + 7 = -15
-15 + 3x + -1x + -4x = 55

Combine like terms: 3x + -1x = 2x
-15 + 2x + -4x = 55

Combine like terms: 2x + -4x = -2x
-15 + -2x = 55

Solving
-15 + -2x = 55

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -2x = 55 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 55 + 15
-2x = 55 + 15

Combine like terms: 55 + 15 = 70
-2x = 70

Divide each side by '-2'.
x = -35

Simplifying
x = -35

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