7(x+1)+4(x+1)=7x-7

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Solution for 7(x+1)+4(x+1)=7x-7 equation: 


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

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

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

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

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

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

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

Solving
11 + 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.
11 + 11x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
11 + 4x = -7 + 0
11 + 4x = -7

Add '-11' to each side of the equation.
11 + -11 + 4x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = -7 + -11
4x = -7 + -11

Combine like terms: -7 + -11 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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