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

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


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

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

Remove parenthesis around (-4 + -7x)
-4 + -7x + -9 = -6(x + 9)

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

Combine like terms: -4 + -9 = -13
-13 + -7x = -6(x + 9)

Reorder the terms:
-13 + -7x = -6(9 + x)
-13 + -7x = (9 * -6 + x * -6)
-13 + -7x = (-54 + -6x)

Solving
-13 + -7x = -54 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-13 + -7x + 6x = -54 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-13 + -1x = -54 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + -1x = -54 + 0
-13 + -1x = -54

Add '13' to each side of the equation.
-13 + 13 + -1x = -54 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -54 + 13
-1x = -54 + 13

Combine like terms: -54 + 13 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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