-7(x-6)-(9x-9)=-17x

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Solution for -7(x-6)-(9x-9)=-17x equation:


Simplifying
-7(x + -6) + -1(9x + -9) = -17x

Reorder the terms:
-7(-6 + x) + -1(9x + -9) = -17x
(-6 * -7 + x * -7) + -1(9x + -9) = -17x
(42 + -7x) + -1(9x + -9) = -17x

Reorder the terms:
42 + -7x + -1(-9 + 9x) = -17x
42 + -7x + (-9 * -1 + 9x * -1) = -17x
42 + -7x + (9 + -9x) = -17x

Reorder the terms:
42 + 9 + -7x + -9x = -17x

Combine like terms: 42 + 9 = 51
51 + -7x + -9x = -17x

Combine like terms: -7x + -9x = -16x
51 + -16x = -17x

Solving
51 + -16x = -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
51 + -16x + 17x = -17x + 17x

Combine like terms: -16x + 17x = 1x
51 + 1x = -17x + 17x

Combine like terms: -17x + 17x = 0
51 + 1x = 0

Add '-51' to each side of the equation.
51 + -51 + 1x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 1x = 0 + -51
1x = 0 + -51

Combine like terms: 0 + -51 = -51
1x = -51

Divide each side by '1'.
x = -51

Simplifying
x = -51

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