-[7x+[-4x+(2+4x)]-(5x+1)]=0

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Solution for -[7x+[-4x+(2+4x)]-(5x+1)]=0 equation:


Simplifying
-1[7x + [-4x + (2 + 4x)] + -1(5x + 1)] = 0

Remove parenthesis around (2 + 4x)
-1[7x + [-4x + 2 + 4x] + -1(5x + 1)] = 0

Reorder the terms:
-1[7x + [2 + -4x + 4x] + -1(5x + 1)] = 0

Combine like terms: -4x + 4x = 0
-1[7x + [2 + 0] + -1(5x + 1)] = 0
-1[7x + [2] + -1(5x + 1)] = 0
-1[7x + 2 + -1(5x + 1)] = 0

Reorder the terms:
-1[7x + 2 + -1(1 + 5x)] = 0
-1[7x + 2 + (1 * -1 + 5x * -1)] = 0
-1[7x + 2 + (-1 + -5x)] = 0

Reorder the terms:
-1[2 + -1 + 7x + -5x] = 0

Combine like terms: 2 + -1 = 1
-1[1 + 7x + -5x] = 0

Combine like terms: 7x + -5x = 2x
-1[1 + 2x] = 0
[1 * -1 + 2x * -1] = 0
[-1 + -2x] = 0

Solving
-1 + -2x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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