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

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


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

Reorder the terms:
7(4 + x) + 4(x + 4) = 7x + -7
(4 * 7 + x * 7) + 4(x + 4) = 7x + -7
(28 + 7x) + 4(x + 4) = 7x + -7

Reorder the terms:
28 + 7x + 4(4 + x) = 7x + -7
28 + 7x + (4 * 4 + x * 4) = 7x + -7
28 + 7x + (16 + 4x) = 7x + -7

Reorder the terms:
28 + 16 + 7x + 4x = 7x + -7

Combine like terms: 28 + 16 = 44
44 + 7x + 4x = 7x + -7

Combine like terms: 7x + 4x = 11x
44 + 11x = 7x + -7

Reorder the terms:
44 + 11x = -7 + 7x

Solving
44 + 11x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
44 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
44 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + 4x = -7 + 0
44 + 4x = -7

Add '-44' to each side of the equation.
44 + -44 + 4x = -7 + -44

Combine like terms: 44 + -44 = 0
0 + 4x = -7 + -44
4x = -7 + -44

Combine like terms: -7 + -44 = -51
4x = -51

Divide each side by '4'.
x = -12.75

Simplifying
x = -12.75

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