3(-7-2x)+6(3x-7)=-51

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Solution for 3(-7-2x)+6(3x-7)=-51 equation: 


Simplifying
3(-7 + -2x) + 6(3x + -7) = -51
(-7 * 3 + -2x * 3) + 6(3x + -7) = -51
(-21 + -6x) + 6(3x + -7) = -51

Reorder the terms:
-21 + -6x + 6(-7 + 3x) = -51
-21 + -6x + (-7 * 6 + 3x * 6) = -51
-21 + -6x + (-42 + 18x) = -51

Reorder the terms:
-21 + -42 + -6x + 18x = -51

Combine like terms: -21 + -42 = -63
-63 + -6x + 18x = -51

Combine like terms: -6x + 18x = 12x
-63 + 12x = -51

Solving
-63 + 12x = -51

Solving for variable 'x'.

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

Add '63' to each side of the equation.
-63 + 63 + 12x = -51 + 63

Combine like terms: -63 + 63 = 0
0 + 12x = -51 + 63
12x = -51 + 63

Combine like terms: -51 + 63 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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