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

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


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

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

Combine like terms: 1 + -7 = -6
-6 + 6x = 7 + -1(x + 6)

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

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

Solving
-6 + 6x = 1 + -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.
-6 + 6x + x = 1 + -1x + x

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

Combine like terms: -1x + x = 0
-6 + 7x = 1 + 0
-6 + 7x = 1

Add '6' to each side of the equation.
-6 + 6 + 7x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 1 + 6
7x = 1 + 6

Combine like terms: 1 + 6 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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