66=7x+6(-x+12)

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Solution for 66=7x+6(-x+12) equation:


Simplifying
66 = 7x + 6(-1x + 12)

Reorder the terms:
66 = 7x + 6(12 + -1x)
66 = 7x + (12 * 6 + -1x * 6)
66 = 7x + (72 + -6x)

Reorder the terms:
66 = 72 + 7x + -6x

Combine like terms: 7x + -6x = 1x
66 = 72 + 1x

Solving
66 = 72 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
66 + -1x = 72 + 1x + -1x

Combine like terms: 1x + -1x = 0
66 + -1x = 72 + 0
66 + -1x = 72

Add '-66' to each side of the equation.
66 + -66 + -1x = 72 + -66

Combine like terms: 66 + -66 = 0
0 + -1x = 72 + -66
-1x = 72 + -66

Combine like terms: 72 + -66 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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