3(-x-1)+1=-33(3x-2)

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Solution for 3(-x-1)+1=-33(3x-2) equation:


Simplifying
3(-1x + -1) + 1 = -33(3x + -2)

Reorder the terms:
3(-1 + -1x) + 1 = -33(3x + -2)
(-1 * 3 + -1x * 3) + 1 = -33(3x + -2)
(-3 + -3x) + 1 = -33(3x + -2)

Reorder the terms:
-3 + 1 + -3x = -33(3x + -2)

Combine like terms: -3 + 1 = -2
-2 + -3x = -33(3x + -2)

Reorder the terms:
-2 + -3x = -33(-2 + 3x)
-2 + -3x = (-2 * -33 + 3x * -33)
-2 + -3x = (66 + -99x)

Solving
-2 + -3x = 66 + -99x

Solving for variable 'x'.

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

Add '99x' to each side of the equation.
-2 + -3x + 99x = 66 + -99x + 99x

Combine like terms: -3x + 99x = 96x
-2 + 96x = 66 + -99x + 99x

Combine like terms: -99x + 99x = 0
-2 + 96x = 66 + 0
-2 + 96x = 66

Add '2' to each side of the equation.
-2 + 2 + 96x = 66 + 2

Combine like terms: -2 + 2 = 0
0 + 96x = 66 + 2
96x = 66 + 2

Combine like terms: 66 + 2 = 68
96x = 68

Divide each side by '96'.
x = 0.7083333333

Simplifying
x = 0.7083333333

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