X+(x+7)+(x-2)=71

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Solution for X+(x+7)+(x-2)=71 equation:


Simplifying
X + (x + 7) + (x + -2) = 71

Reorder the terms:
X + (7 + x) + (x + -2) = 71

Remove parenthesis around (7 + x)
X + 7 + x + (x + -2) = 71

Reorder the terms:
X + 7 + x + (-2 + x) = 71

Remove parenthesis around (-2 + x)
X + 7 + x + -2 + x = 71

Reorder the terms:
7 + -2 + X + x + x = 71

Combine like terms: 7 + -2 = 5
5 + X + x + x = 71

Combine like terms: x + x = 2x
5 + X + 2x = 71

Solving
5 + X + 2x = 71

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X + -5 + 2x = 71 + -5

Reorder the terms:
5 + -5 + X + 2x = 71 + -5

Combine like terms: 5 + -5 = 0
0 + X + 2x = 71 + -5
X + 2x = 71 + -5

Combine like terms: 71 + -5 = 66
X + 2x = 66

Add '-2x' to each side of the equation.
X + 2x + -2x = 66 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 66 + -2x
X = 66 + -2x

Simplifying
X = 66 + -2x

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