7[1-(-2x-2)]=126x+133

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Solution for 7[1-(-2x-2)]=126x+133 equation:


Simplifying
7[1 + -1(-2x + -2)] = 126x + 133

Reorder the terms:
7[1 + -1(-2 + -2x)] = 126x + 133
7[1 + (-2 * -1 + -2x * -1)] = 126x + 133
7[1 + (2 + 2x)] = 126x + 133

Combine like terms: 1 + 2 = 3
7[3 + 2x] = 126x + 133
[3 * 7 + 2x * 7] = 126x + 133
[21 + 14x] = 126x + 133

Reorder the terms:
21 + 14x = 133 + 126x

Solving
21 + 14x = 133 + 126x

Solving for variable 'x'.

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

Add '-126x' to each side of the equation.
21 + 14x + -126x = 133 + 126x + -126x

Combine like terms: 14x + -126x = -112x
21 + -112x = 133 + 126x + -126x

Combine like terms: 126x + -126x = 0
21 + -112x = 133 + 0
21 + -112x = 133

Add '-21' to each side of the equation.
21 + -21 + -112x = 133 + -21

Combine like terms: 21 + -21 = 0
0 + -112x = 133 + -21
-112x = 133 + -21

Combine like terms: 133 + -21 = 112
-112x = 112

Divide each side by '-112'.
x = -1

Simplifying
x = -1

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