x+6(x+9)+(x+3)=x+4+(x+1)+(x+4)+(x+1)

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


Simplifying
x + 6(x + 9) + (x + 3) = x + 4 + (x + 1) + (x + 4) + (x + 1)

Reorder the terms:
x + 6(9 + x) + (x + 3) = x + 4 + (x + 1) + (x + 4) + (x + 1)
x + (9 * 6 + x * 6) + (x + 3) = x + 4 + (x + 1) + (x + 4) + (x + 1)
x + (54 + 6x) + (x + 3) = x + 4 + (x + 1) + (x + 4) + (x + 1)

Reorder the terms:
x + 54 + 6x + (3 + x) = x + 4 + (x + 1) + (x + 4) + (x + 1)

Remove parenthesis around (3 + x)
x + 54 + 6x + 3 + x = x + 4 + (x + 1) + (x + 4) + (x + 1)

Reorder the terms:
54 + 3 + x + 6x + x = x + 4 + (x + 1) + (x + 4) + (x + 1)

Combine like terms: 54 + 3 = 57
57 + x + 6x + x = x + 4 + (x + 1) + (x + 4) + (x + 1)

Combine like terms: x + 6x = 7x
57 + 7x + x = x + 4 + (x + 1) + (x + 4) + (x + 1)

Combine like terms: 7x + x = 8x
57 + 8x = x + 4 + (x + 1) + (x + 4) + (x + 1)

Reorder the terms:
57 + 8x = x + 4 + (1 + x) + (x + 4) + (x + 1)

Remove parenthesis around (1 + x)
57 + 8x = x + 4 + 1 + x + (x + 4) + (x + 1)

Reorder the terms:
57 + 8x = x + 4 + 1 + x + (4 + x) + (x + 1)

Remove parenthesis around (4 + x)
57 + 8x = x + 4 + 1 + x + 4 + x + (x + 1)

Reorder the terms:
57 + 8x = x + 4 + 1 + x + 4 + x + (1 + x)

Remove parenthesis around (1 + x)
57 + 8x = x + 4 + 1 + x + 4 + x + 1 + x

Reorder the terms:
57 + 8x = 4 + 1 + 4 + 1 + x + x + x + x

Combine like terms: 4 + 1 = 5
57 + 8x = 5 + 4 + 1 + x + x + x + x

Combine like terms: 5 + 4 = 9
57 + 8x = 9 + 1 + x + x + x + x

Combine like terms: 9 + 1 = 10
57 + 8x = 10 + x + x + x + x

Combine like terms: x + x = 2x
57 + 8x = 10 + 2x + x + x

Combine like terms: 2x + x = 3x
57 + 8x = 10 + 3x + x

Combine like terms: 3x + x = 4x
57 + 8x = 10 + 4x

Solving
57 + 8x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
57 + 8x + -4x = 10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
57 + 4x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
57 + 4x = 10 + 0
57 + 4x = 10

Add '-57' to each side of the equation.
57 + -57 + 4x = 10 + -57

Combine like terms: 57 + -57 = 0
0 + 4x = 10 + -57
4x = 10 + -57

Combine like terms: 10 + -57 = -47
4x = -47

Divide each side by '4'.
x = -11.75

Simplifying
x = -11.75

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