-(1+7x)-6(-7-x)=46

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Solution for -(1+7x)-6(-7-x)=46 equation: 


Simplifying
-1(1 + 7x) + -6(-7 + -1x) = 46
(1 * -1 + 7x * -1) + -6(-7 + -1x) = 46
(-1 + -7x) + -6(-7 + -1x) = 46
-1 + -7x + (-7 * -6 + -1x * -6) = 46
-1 + -7x + (42 + 6x) = 46

Reorder the terms:
-1 + 42 + -7x + 6x = 46

Combine like terms: -1 + 42 = 41
41 + -7x + 6x = 46

Combine like terms: -7x + 6x = -1x
41 + -1x = 46

Solving
41 + -1x = 46

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + -1x = 46 + -41

Combine like terms: 41 + -41 = 0
0 + -1x = 46 + -41
-1x = 46 + -41

Combine like terms: 46 + -41 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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