X+(x+1)+(x+2)+(x+3)=-6

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Solution for X+(x+1)+(x+2)+(x+3)=-6 equation:


Simplifying
X + (x + 1) + (x + 2) + (x + 3) = -6

Reorder the terms:
X + (1 + x) + (x + 2) + (x + 3) = -6

Remove parenthesis around (1 + x)
X + 1 + x + (x + 2) + (x + 3) = -6

Reorder the terms:
X + 1 + x + (2 + x) + (x + 3) = -6

Remove parenthesis around (2 + x)
X + 1 + x + 2 + x + (x + 3) = -6

Reorder the terms:
X + 1 + x + 2 + x + (3 + x) = -6

Remove parenthesis around (3 + x)
X + 1 + x + 2 + x + 3 + x = -6

Reorder the terms:
1 + 2 + 3 + X + x + x + x = -6

Combine like terms: 1 + 2 = 3
3 + 3 + X + x + x + x = -6

Combine like terms: 3 + 3 = 6
6 + X + x + x + x = -6

Combine like terms: x + x = 2x
6 + X + 2x + x = -6

Combine like terms: 2x + x = 3x
6 + X + 3x = -6

Solving
6 + X + 3x = -6

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + -6 + 3x = -6 + -6

Reorder the terms:
6 + -6 + X + 3x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + X + 3x = -6 + -6
X + 3x = -6 + -6

Combine like terms: -6 + -6 = -12
X + 3x = -12

Add '-3x' to each side of the equation.
X + 3x + -3x = -12 + -3x

Combine like terms: 3x + -3x = 0
X + 0 = -12 + -3x
X = -12 + -3x

Simplifying
X = -12 + -3x

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