3-3(x-3(x-3(x-3)))=3-(x-3-(x-3-(x-3)))

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Solution for 3-3(x-3(x-3(x-3)))=3-(x-3-(x-3-(x-3))) equation: 


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

Reorder the terms:
3 + -3(x + -3(x + -3(-3 + x))) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + -3(x + -3(x + (-3 * -3 + x * -3))) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + -3(x + -3(x + (9 + -3x))) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Reorder the terms:
3 + -3(x + -3(9 + x + -3x)) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Combine like terms: x + -3x = -2x
3 + -3(x + -3(9 + -2x)) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + -3(x + (9 * -3 + -2x * -3)) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + -3(x + (-27 + 6x)) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Reorder the terms:
3 + -3(-27 + x + 6x) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Combine like terms: x + 6x = 7x
3 + -3(-27 + 7x) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + (-27 * -3 + 7x * -3) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))
3 + (81 + -21x) = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Combine like terms: 3 + 81 = 84
84 + -21x = 3 + -1(x + -3 + -1(x + -3 + -1(x + -3)))

Reorder the terms:
84 + -21x = 3 + -1(x + -3 + -1(x + -3 + -1(-3 + x)))
84 + -21x = 3 + -1(x + -3 + -1(x + -3 + (-3 * -1 + x * -1)))
84 + -21x = 3 + -1(x + -3 + -1(x + -3 + (3 + -1x)))

Reorder the terms:
84 + -21x = 3 + -1(x + -3 + -1(-3 + 3 + x + -1x))

Combine like terms: -3 + 3 = 0
84 + -21x = 3 + -1(x + -3 + -1(0 + x + -1x))
84 + -21x = 3 + -1(x + -3 + -1(x + -1x))

Combine like terms: x + -1x = 0
84 + -21x = 3 + -1(x + -3 + -1(0))

Multiply -1 * 0
84 + -21x = 3 + -1(x + -3 + 0)

Anything times zero is zero.
84 + -21x = 3 + -1(x + -3 + 0)

Reorder the terms:
84 + -21x = 3 + -1(-3 + 0 + x)

Combine like terms: -3 + 0 = -3
84 + -21x = 3 + -1(-3 + x)
84 + -21x = 3 + (-3 * -1 + x * -1)
84 + -21x = 3 + (3 + -1x)

Combine like terms: 3 + 3 = 6
84 + -21x = 6 + -1x

Solving
84 + -21x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
84 + -21x + x = 6 + -1x + x

Combine like terms: -21x + x = -20x
84 + -20x = 6 + -1x + x

Combine like terms: -1x + x = 0
84 + -20x = 6 + 0
84 + -20x = 6

Add '-84' to each side of the equation.
84 + -84 + -20x = 6 + -84

Combine like terms: 84 + -84 = 0
0 + -20x = 6 + -84
-20x = 6 + -84

Combine like terms: 6 + -84 = -78
-20x = -78

Divide each side by '-20'.
x = 3.9

Simplifying
x = 3.9

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