-343=7(6x-1)-6x

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Solution for -343=7(6x-1)-6x equation:


Simplifying
-343 = 7(6x + -1) + -6x

Reorder the terms:
-343 = 7(-1 + 6x) + -6x
-343 = (-1 * 7 + 6x * 7) + -6x
-343 = (-7 + 42x) + -6x

Combine like terms: 42x + -6x = 36x
-343 = -7 + 36x

Solving
-343 = -7 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-343 + -36x = -7 + 36x + -36x

Combine like terms: 36x + -36x = 0
-343 + -36x = -7 + 0
-343 + -36x = -7

Add '343' to each side of the equation.
-343 + 343 + -36x = -7 + 343

Combine like terms: -343 + 343 = 0
0 + -36x = -7 + 343
-36x = -7 + 343

Combine like terms: -7 + 343 = 336
-36x = 336

Divide each side by '-36'.
x = -9.333333333

Simplifying
x = -9.333333333

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