-6x+49-3(x-1)=3x-(4x-9)-2x+1

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Solution for -6x+49-3(x-1)=3x-(4x-9)-2x+1 equation: 


Simplifying
-6x + 49 + -3(x + -1) = 3x + -1(4x + -9) + -2x + 1

Reorder the terms:
-6x + 49 + -3(-1 + x) = 3x + -1(4x + -9) + -2x + 1
-6x + 49 + (-1 * -3 + x * -3) = 3x + -1(4x + -9) + -2x + 1
-6x + 49 + (3 + -3x) = 3x + -1(4x + -9) + -2x + 1

Reorder the terms:
49 + 3 + -6x + -3x = 3x + -1(4x + -9) + -2x + 1

Combine like terms: 49 + 3 = 52
52 + -6x + -3x = 3x + -1(4x + -9) + -2x + 1

Combine like terms: -6x + -3x = -9x
52 + -9x = 3x + -1(4x + -9) + -2x + 1

Reorder the terms:
52 + -9x = 3x + -1(-9 + 4x) + -2x + 1
52 + -9x = 3x + (-9 * -1 + 4x * -1) + -2x + 1
52 + -9x = 3x + (9 + -4x) + -2x + 1

Reorder the terms:
52 + -9x = 9 + 1 + 3x + -4x + -2x

Combine like terms: 9 + 1 = 10
52 + -9x = 10 + 3x + -4x + -2x

Combine like terms: 3x + -4x = -1x
52 + -9x = 10 + -1x + -2x

Combine like terms: -1x + -2x = -3x
52 + -9x = 10 + -3x

Solving
52 + -9x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
52 + -9x + 3x = 10 + -3x + 3x

Combine like terms: -9x + 3x = -6x
52 + -6x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
52 + -6x = 10 + 0
52 + -6x = 10

Add '-52' to each side of the equation.
52 + -52 + -6x = 10 + -52

Combine like terms: 52 + -52 = 0
0 + -6x = 10 + -52
-6x = 10 + -52

Combine like terms: 10 + -52 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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