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

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


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

Reorder the terms:
9(4 + x) + 7(x + 4) = 7x + -7
(4 * 9 + x * 9) + 7(x + 4) = 7x + -7
(36 + 9x) + 7(x + 4) = 7x + -7

Reorder the terms:
36 + 9x + 7(4 + x) = 7x + -7
36 + 9x + (4 * 7 + x * 7) = 7x + -7
36 + 9x + (28 + 7x) = 7x + -7

Reorder the terms:
36 + 28 + 9x + 7x = 7x + -7

Combine like terms: 36 + 28 = 64
64 + 9x + 7x = 7x + -7

Combine like terms: 9x + 7x = 16x
64 + 16x = 7x + -7

Reorder the terms:
64 + 16x = -7 + 7x

Solving
64 + 16x = -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.
64 + 16x + -7x = -7 + 7x + -7x

Combine like terms: 16x + -7x = 9x
64 + 9x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
64 + 9x = -7 + 0
64 + 9x = -7

Add '-64' to each side of the equation.
64 + -64 + 9x = -7 + -64

Combine like terms: 64 + -64 = 0
0 + 9x = -7 + -64
9x = -7 + -64

Combine like terms: -7 + -64 = -71
9x = -71

Divide each side by '9'.
x = -7.888888889

Simplifying
x = -7.888888889

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