x+6x+3X+9=X+4X+4X+1X+1

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Solution for x+6x+3X+9=X+4X+4X+1X+1 equation:


Simplifying
x + 6x + 3X + 9 = X + 4X + 4X + 1X + 1

Reorder the terms:
9 + 3X + x + 6x = X + 4X + 4X + 1X + 1

Combine like terms: x + 6x = 7x
9 + 3X + 7x = X + 4X + 4X + 1X + 1

Reorder the terms:
9 + 3X + 7x = 1 + X + 4X + 4X + 1X

Combine like terms: X + 4X = 5X
9 + 3X + 7x = 1 + 5X + 4X + 1X

Combine like terms: 5X + 4X = 9X
9 + 3X + 7x = 1 + 9X + 1X

Combine like terms: 9X + 1X = 10X
9 + 3X + 7x = 1 + 10X

Solving
9 + 3X + 7x = 1 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
9 + 3X + -10X + 7x = 1 + 10X + -10X

Combine like terms: 3X + -10X = -7X
9 + -7X + 7x = 1 + 10X + -10X

Combine like terms: 10X + -10X = 0
9 + -7X + 7x = 1 + 0
9 + -7X + 7x = 1

Add '-9' to each side of the equation.
9 + -7X + -9 + 7x = 1 + -9

Reorder the terms:
9 + -9 + -7X + 7x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -7X + 7x = 1 + -9
-7X + 7x = 1 + -9

Combine like terms: 1 + -9 = -8
-7X + 7x = -8

Add '-7x' to each side of the equation.
-7X + 7x + -7x = -8 + -7x

Combine like terms: 7x + -7x = 0
-7X + 0 = -8 + -7x
-7X = -8 + -7x

Divide each side by '-7'.
X = 1.142857143 + x

Simplifying
X = 1.142857143 + x

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