4(-1+7x)+6=-40+7x

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Solution for 4(-1+7x)+6=-40+7x equation: 


Simplifying
4(-1 + 7x) + 6 = -40 + 7x
(-1 * 4 + 7x * 4) + 6 = -40 + 7x
(-4 + 28x) + 6 = -40 + 7x

Reorder the terms:
-4 + 6 + 28x = -40 + 7x

Combine like terms: -4 + 6 = 2
2 + 28x = -40 + 7x

Solving
2 + 28x = -40 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 28x + -7x = -40 + 7x + -7x

Combine like terms: 28x + -7x = 21x
2 + 21x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 21x = -40 + 0
2 + 21x = -40

Add '-2' to each side of the equation.
2 + -2 + 21x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + 21x = -40 + -2
21x = -40 + -2

Combine like terms: -40 + -2 = -42
21x = -42

Divide each side by '21'.
x = -2

Simplifying
x = -2

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