6x+7(71-x)=475

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Solution for 6x+7(71-x)=475 equation:


Simplifying
6x + 7(71 + -1x) = 475
6x + (71 * 7 + -1x * 7) = 475
6x + (497 + -7x) = 475

Reorder the terms:
497 + 6x + -7x = 475

Combine like terms: 6x + -7x = -1x
497 + -1x = 475

Solving
497 + -1x = 475

Solving for variable 'x'.

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

Add '-497' to each side of the equation.
497 + -497 + -1x = 475 + -497

Combine like terms: 497 + -497 = 0
0 + -1x = 475 + -497
-1x = 475 + -497

Combine like terms: 475 + -497 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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