4x+7(-x+11)=41

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Solution for 4x+7(-x+11)=41 equation:


Simplifying
4x + 7(-1x + 11) = 41

Reorder the terms:
4x + 7(11 + -1x) = 41
4x + (11 * 7 + -1x * 7) = 41
4x + (77 + -7x) = 41

Reorder the terms:
77 + 4x + -7x = 41

Combine like terms: 4x + -7x = -3x
77 + -3x = 41

Solving
77 + -3x = 41

Solving for variable 'x'.

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

Add '-77' to each side of the equation.
77 + -77 + -3x = 41 + -77

Combine like terms: 77 + -77 = 0
0 + -3x = 41 + -77
-3x = 41 + -77

Combine like terms: 41 + -77 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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