(7x-7)+(4x+4)=74

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Solution for (7x-7)+(4x+4)=74 equation:


Simplifying
(7x + -7) + (4x + 4) = 74

Reorder the terms:
(-7 + 7x) + (4x + 4) = 74

Remove parenthesis around (-7 + 7x)
-7 + 7x + (4x + 4) = 74

Reorder the terms:
-7 + 7x + (4 + 4x) = 74

Remove parenthesis around (4 + 4x)
-7 + 7x + 4 + 4x = 74

Reorder the terms:
-7 + 4 + 7x + 4x = 74

Combine like terms: -7 + 4 = -3
-3 + 7x + 4x = 74

Combine like terms: 7x + 4x = 11x
-3 + 11x = 74

Solving
-3 + 11x = 74

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 11x = 74 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 74 + 3
11x = 74 + 3

Combine like terms: 74 + 3 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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