x+3+(4x-5)+(x+3)+(x-2)+10-2=70

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Solution for x+3+(4x-5)+(x+3)+(x-2)+10-2=70 equation: 


Simplifying
x + 3 + (4x + -5) + (x + 3) + (x + -2) + 10 + -2 = 70

Reorder the terms:
x + 3 + (-5 + 4x) + (x + 3) + (x + -2) + 10 + -2 = 70

Remove parenthesis around (-5 + 4x)
x + 3 + -5 + 4x + (x + 3) + (x + -2) + 10 + -2 = 70

Reorder the terms:
x + 3 + -5 + 4x + (3 + x) + (x + -2) + 10 + -2 = 70

Remove parenthesis around (3 + x)
x + 3 + -5 + 4x + 3 + x + (x + -2) + 10 + -2 = 70

Reorder the terms:
x + 3 + -5 + 4x + 3 + x + (-2 + x) + 10 + -2 = 70

Remove parenthesis around (-2 + x)
x + 3 + -5 + 4x + 3 + x + -2 + x + 10 + -2 = 70

Reorder the terms:
3 + -5 + 3 + -2 + 10 + -2 + x + 4x + x + x = 70

Combine like terms: 3 + -5 = -2
-2 + 3 + -2 + 10 + -2 + x + 4x + x + x = 70

Combine like terms: -2 + 3 = 1
1 + -2 + 10 + -2 + x + 4x + x + x = 70

Combine like terms: 1 + -2 = -1
-1 + 10 + -2 + x + 4x + x + x = 70

Combine like terms: -1 + 10 = 9
9 + -2 + x + 4x + x + x = 70

Combine like terms: 9 + -2 = 7
7 + x + 4x + x + x = 70

Combine like terms: x + 4x = 5x
7 + 5x + x + x = 70

Combine like terms: 5x + x = 6x
7 + 6x + x = 70

Combine like terms: 6x + x = 7x
7 + 7x = 70

Solving
7 + 7x = 70

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 7x = 70 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = 70 + -7
7x = 70 + -7

Combine like terms: 70 + -7 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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