-4x-11[x+7]=-2[7x+4]

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Solution for -4x-11[x+7]=-2[7x+4] equation:


Simplifying
-4x + -11[x + 7] = -2[7x + 4]

Reorder the terms:
-4x + -11[7 + x] = -2[7x + 4]
-4x + [7 * -11 + x * -11] = -2[7x + 4]
-4x + [-77 + -11x] = -2[7x + 4]

Reorder the terms:
-77 + -4x + -11x = -2[7x + 4]

Combine like terms: -4x + -11x = -15x
-77 + -15x = -2[7x + 4]

Reorder the terms:
-77 + -15x = -2[4 + 7x]
-77 + -15x = [4 * -2 + 7x * -2]
-77 + -15x = [-8 + -14x]

Solving
-77 + -15x = -8 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-77 + -15x + 14x = -8 + -14x + 14x

Combine like terms: -15x + 14x = -1x
-77 + -1x = -8 + -14x + 14x

Combine like terms: -14x + 14x = 0
-77 + -1x = -8 + 0
-77 + -1x = -8

Add '77' to each side of the equation.
-77 + 77 + -1x = -8 + 77

Combine like terms: -77 + 77 = 0
0 + -1x = -8 + 77
-1x = -8 + 77

Combine like terms: -8 + 77 = 69
-1x = 69

Divide each side by '-1'.
x = -69

Simplifying
x = -69

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