6[7-(-9x-1)]=378x+84

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Solution for 6[7-(-9x-1)]=378x+84 equation:


Simplifying
6[7 + -1(-9x + -1)] = 378x + 84

Reorder the terms:
6[7 + -1(-1 + -9x)] = 378x + 84
6[7 + (-1 * -1 + -9x * -1)] = 378x + 84
6[7 + (1 + 9x)] = 378x + 84

Combine like terms: 7 + 1 = 8
6[8 + 9x] = 378x + 84
[8 * 6 + 9x * 6] = 378x + 84
[48 + 54x] = 378x + 84

Reorder the terms:
48 + 54x = 84 + 378x

Solving
48 + 54x = 84 + 378x

Solving for variable 'x'.

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

Add '-378x' to each side of the equation.
48 + 54x + -378x = 84 + 378x + -378x

Combine like terms: 54x + -378x = -324x
48 + -324x = 84 + 378x + -378x

Combine like terms: 378x + -378x = 0
48 + -324x = 84 + 0
48 + -324x = 84

Add '-48' to each side of the equation.
48 + -48 + -324x = 84 + -48

Combine like terms: 48 + -48 = 0
0 + -324x = 84 + -48
-324x = 84 + -48

Combine like terms: 84 + -48 = 36
-324x = 36

Divide each side by '-324'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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