X-(-2X+(3X-(1+X))-1)=1

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Solution for X-(-2X+(3X-(1+X))-1)=1 equation: 


Simplifying
X + -1(-2X + (3X + -1(1 + X)) + -1) = 1
X + -1(-2X + (3X + (1 * -1 + X * -1)) + -1) = 1
X + -1(-2X + (3X + (-1 + -1X)) + -1) = 1

Reorder the terms:
X + -1(-2X + (-1 + 3X + -1X) + -1) = 1

Combine like terms: 3X + -1X = 2X
X + -1(-2X + (-1 + 2X) + -1) = 1

Remove parenthesis around (-1 + 2X)
X + -1(-2X + -1 + 2X + -1) = 1

Reorder the terms:
X + -1(-1 + -1 + -2X + 2X) = 1

Combine like terms: -1 + -1 = -2
X + -1(-2 + -2X + 2X) = 1

Combine like terms: -2X + 2X = 0
X + -1(-2 + 0) = 1
X + -1(-2) = 1

Multiply -1 * -2
X + 2 = 1

Reorder the terms:
2 + X = 1

Solving
2 + X = 1

Solving for variable 'X'.

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

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

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

Combine like terms: 1 + -2 = -1
X = -1

Simplifying
X = -1

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