.7(6x+3)=1.1-(x+6)

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Solution for .7(6x+3)=1.1-(x+6) equation: 


Simplifying
0.7(6x + 3) = 1.1 + -1(x + 6)

Reorder the terms:
0.7(3 + 6x) = 1.1 + -1(x + 6)
(3 * 0.7 + 6x * 0.7) = 1.1 + -1(x + 6)
(2.1 + 4.2x) = 1.1 + -1(x + 6)

Reorder the terms:
2.1 + 4.2x = 1.1 + -1(6 + x)
2.1 + 4.2x = 1.1 + (6 * -1 + x * -1)
2.1 + 4.2x = 1.1 + (-6 + -1x)

Combine like terms: 1.1 + -6 = -4.9
2.1 + 4.2x = -4.9 + -1x

Solving
2.1 + 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.
2.1 + 4.2x + x = -4.9 + -1x + x

Combine like terms: 4.2x + x = 5.2x
2.1 + 5.2x = -4.9 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 5.2x = -4.9 + 0
2.1 + 5.2x = -4.9

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 5.2x = -4.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 5.2x = -4.9 + -2.1
5.2x = -4.9 + -2.1

Combine like terms: -4.9 + -2.1 = -7
5.2x = -7

Divide each side by '5.2'.
x = -1.346153846

Simplifying
x = -1.346153846

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