7(x+7)=4[x-(4-x)]

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Solution for 7(x+7)=4[x-(4-x)] equation:


Simplifying
7(x + 7) = 4[x + -1(4 + -1x)]

Reorder the terms:
7(7 + x) = 4[x + -1(4 + -1x)]
(7 * 7 + x * 7) = 4[x + -1(4 + -1x)]
(49 + 7x) = 4[x + -1(4 + -1x)]
49 + 7x = 4[x + (4 * -1 + -1x * -1)]
49 + 7x = 4[x + (-4 + 1x)]

Reorder the terms:
49 + 7x = 4[-4 + x + 1x]

Combine like terms: x + 1x = 2x
49 + 7x = 4[-4 + 2x]
49 + 7x = [-4 * 4 + 2x * 4]
49 + 7x = [-16 + 8x]

Solving
49 + 7x = -16 + 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.
49 + 7x + -8x = -16 + 8x + -8x

Combine like terms: 7x + -8x = -1x
49 + -1x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
49 + -1x = -16 + 0
49 + -1x = -16

Add '-49' to each side of the equation.
49 + -49 + -1x = -16 + -49

Combine like terms: 49 + -49 = 0
0 + -1x = -16 + -49
-1x = -16 + -49

Combine like terms: -16 + -49 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65

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