1+6(x-7)=7-9(x-7)

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Solution for 1+6(x-7)=7-9(x-7) equation:


Simplifying
1 + 6(x + -7) = 7 + -9(x + -7)

Reorder the terms:
1 + 6(-7 + x) = 7 + -9(x + -7)
1 + (-7 * 6 + x * 6) = 7 + -9(x + -7)
1 + (-42 + 6x) = 7 + -9(x + -7)

Combine like terms: 1 + -42 = -41
-41 + 6x = 7 + -9(x + -7)

Reorder the terms:
-41 + 6x = 7 + -9(-7 + x)
-41 + 6x = 7 + (-7 * -9 + x * -9)
-41 + 6x = 7 + (63 + -9x)

Combine like terms: 7 + 63 = 70
-41 + 6x = 70 + -9x

Solving
-41 + 6x = 70 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-41 + 6x + 9x = 70 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-41 + 15x = 70 + -9x + 9x

Combine like terms: -9x + 9x = 0
-41 + 15x = 70 + 0
-41 + 15x = 70

Add '41' to each side of the equation.
-41 + 41 + 15x = 70 + 41

Combine like terms: -41 + 41 = 0
0 + 15x = 70 + 41
15x = 70 + 41

Combine like terms: 70 + 41 = 111
15x = 111

Divide each side by '15'.
x = 7.4

Simplifying
x = 7.4

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