-3x+4-9(x-3)=3x-(7x-6)-4x+1

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Solution for -3x+4-9(x-3)=3x-(7x-6)-4x+1 equation: 


Simplifying
-3x + 4 + -9(x + -3) = 3x + -1(7x + -6) + -4x + 1

Reorder the terms:
-3x + 4 + -9(-3 + x) = 3x + -1(7x + -6) + -4x + 1
-3x + 4 + (-3 * -9 + x * -9) = 3x + -1(7x + -6) + -4x + 1
-3x + 4 + (27 + -9x) = 3x + -1(7x + -6) + -4x + 1

Reorder the terms:
4 + 27 + -3x + -9x = 3x + -1(7x + -6) + -4x + 1

Combine like terms: 4 + 27 = 31
31 + -3x + -9x = 3x + -1(7x + -6) + -4x + 1

Combine like terms: -3x + -9x = -12x
31 + -12x = 3x + -1(7x + -6) + -4x + 1

Reorder the terms:
31 + -12x = 3x + -1(-6 + 7x) + -4x + 1
31 + -12x = 3x + (-6 * -1 + 7x * -1) + -4x + 1
31 + -12x = 3x + (6 + -7x) + -4x + 1

Reorder the terms:
31 + -12x = 6 + 1 + 3x + -7x + -4x

Combine like terms: 6 + 1 = 7
31 + -12x = 7 + 3x + -7x + -4x

Combine like terms: 3x + -7x = -4x
31 + -12x = 7 + -4x + -4x

Combine like terms: -4x + -4x = -8x
31 + -12x = 7 + -8x

Solving
31 + -12x = 7 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
31 + -12x + 8x = 7 + -8x + 8x

Combine like terms: -12x + 8x = -4x
31 + -4x = 7 + -8x + 8x

Combine like terms: -8x + 8x = 0
31 + -4x = 7 + 0
31 + -4x = 7

Add '-31' to each side of the equation.
31 + -31 + -4x = 7 + -31

Combine like terms: 31 + -31 = 0
0 + -4x = 7 + -31
-4x = 7 + -31

Combine like terms: 7 + -31 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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