34+6x=-7(-3x+7)-7

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Solution for 34+6x=-7(-3x+7)-7 equation: 


Simplifying
34 + 6x = -7(-3x + 7) + -7

Reorder the terms:
34 + 6x = -7(7 + -3x) + -7
34 + 6x = (7 * -7 + -3x * -7) + -7
34 + 6x = (-49 + 21x) + -7

Reorder the terms:
34 + 6x = -49 + -7 + 21x

Combine like terms: -49 + -7 = -56
34 + 6x = -56 + 21x

Solving
34 + 6x = -56 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
34 + 6x + -21x = -56 + 21x + -21x

Combine like terms: 6x + -21x = -15x
34 + -15x = -56 + 21x + -21x

Combine like terms: 21x + -21x = 0
34 + -15x = -56 + 0
34 + -15x = -56

Add '-34' to each side of the equation.
34 + -34 + -15x = -56 + -34

Combine like terms: 34 + -34 = 0
0 + -15x = -56 + -34
-15x = -56 + -34

Combine like terms: -56 + -34 = -90
-15x = -90

Divide each side by '-15'.
x = 6

Simplifying
x = 6

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