9(x+4)+3(x+4)=7x-7

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Solution for 9(x+4)+3(x+4)=7x-7 equation: 


Simplifying
9(x + 4) + 3(x + 4) = 7x + -7

Reorder the terms:
9(4 + x) + 3(x + 4) = 7x + -7
(4 * 9 + x * 9) + 3(x + 4) = 7x + -7
(36 + 9x) + 3(x + 4) = 7x + -7

Reorder the terms:
36 + 9x + 3(4 + x) = 7x + -7
36 + 9x + (4 * 3 + x * 3) = 7x + -7
36 + 9x + (12 + 3x) = 7x + -7

Reorder the terms:
36 + 12 + 9x + 3x = 7x + -7

Combine like terms: 36 + 12 = 48
48 + 9x + 3x = 7x + -7

Combine like terms: 9x + 3x = 12x
48 + 12x = 7x + -7

Reorder the terms:
48 + 12x = -7 + 7x

Solving
48 + 12x = -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.
48 + 12x + -7x = -7 + 7x + -7x

Combine like terms: 12x + -7x = 5x
48 + 5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + 5x = -7 + 0
48 + 5x = -7

Add '-48' to each side of the equation.
48 + -48 + 5x = -7 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = -7 + -48
5x = -7 + -48

Combine like terms: -7 + -48 = -55
5x = -55

Divide each side by '5'.
x = -11

Simplifying
x = -11

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