-6+6(4x-9)=-7(-7x+2)-1

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Solution for -6+6(4x-9)=-7(-7x+2)-1 equation: 


Simplifying
-6 + 6(4x + -9) = -7(-7x + 2) + -1

Reorder the terms:
-6 + 6(-9 + 4x) = -7(-7x + 2) + -1
-6 + (-9 * 6 + 4x * 6) = -7(-7x + 2) + -1
-6 + (-54 + 24x) = -7(-7x + 2) + -1

Combine like terms: -6 + -54 = -60
-60 + 24x = -7(-7x + 2) + -1

Reorder the terms:
-60 + 24x = -7(2 + -7x) + -1
-60 + 24x = (2 * -7 + -7x * -7) + -1
-60 + 24x = (-14 + 49x) + -1

Reorder the terms:
-60 + 24x = -14 + -1 + 49x

Combine like terms: -14 + -1 = -15
-60 + 24x = -15 + 49x

Solving
-60 + 24x = -15 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
-60 + 24x + -49x = -15 + 49x + -49x

Combine like terms: 24x + -49x = -25x
-60 + -25x = -15 + 49x + -49x

Combine like terms: 49x + -49x = 0
-60 + -25x = -15 + 0
-60 + -25x = -15

Add '60' to each side of the equation.
-60 + 60 + -25x = -15 + 60

Combine like terms: -60 + 60 = 0
0 + -25x = -15 + 60
-25x = -15 + 60

Combine like terms: -15 + 60 = 45
-25x = 45

Divide each side by '-25'.
x = -1.8

Simplifying
x = -1.8

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