7(x+11)=41-x

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Solution for 7(x+11)=41-x equation:


Simplifying
7(x + 11) = 41 + -1x

Reorder the terms:
7(11 + x) = 41 + -1x
(11 * 7 + x * 7) = 41 + -1x
(77 + 7x) = 41 + -1x

Solving
77 + 7x = 41 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
77 + 7x + x = 41 + -1x + x

Combine like terms: 7x + x = 8x
77 + 8x = 41 + -1x + x

Combine like terms: -1x + x = 0
77 + 8x = 41 + 0
77 + 8x = 41

Add '-77' to each side of the equation.
77 + -77 + 8x = 41 + -77

Combine like terms: 77 + -77 = 0
0 + 8x = 41 + -77
8x = 41 + -77

Combine like terms: 41 + -77 = -36
8x = -36

Divide each side by '8'.
x = -4.5

Simplifying
x = -4.5

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