0.7(6X+2)=1.1-(X+6)

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Solution for 0.7(6X+2)=1.1-(X+6) equation: 


Simplifying
0.7(6X + 2) = 1.1 + -1(X + 6)

Reorder the terms:
0.7(2 + 6X) = 1.1 + -1(X + 6)
(2 * 0.7 + 6X * 0.7) = 1.1 + -1(X + 6)
(1.4 + 4.2X) = 1.1 + -1(X + 6)

Reorder the terms:
1.4 + 4.2X = 1.1 + -1(6 + X)
1.4 + 4.2X = 1.1 + (6 * -1 + X * -1)
1.4 + 4.2X = 1.1 + (-6 + -1X)

Combine like terms: 1.1 + -6 = -4.9
1.4 + 4.2X = -4.9 + -1X

Solving
1.4 + 4.2X = -4.9 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
1.4 + 4.2X + X = -4.9 + -1X + X

Combine like terms: 4.2X + X = 5.2X
1.4 + 5.2X = -4.9 + -1X + X

Combine like terms: -1X + X = 0
1.4 + 5.2X = -4.9 + 0
1.4 + 5.2X = -4.9

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 5.2X = -4.9 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 5.2X = -4.9 + -1.4
5.2X = -4.9 + -1.4

Combine like terms: -4.9 + -1.4 = -6.3
5.2X = -6.3

Divide each side by '5.2'.
X = -1.211538462

Simplifying
X = -1.211538462

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