0.7(3x+4)=1.1-(x+6)

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Solution for 0.7(3x+4)=1.1-(x+6) equation: 


Simplifying
0.7(3x + 4) = 1.1 + -1(x + 6)

Reorder the terms:
0.7(4 + 3x) = 1.1 + -1(x + 6)
(4 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 6)
(2.8 + 2.1x) = 1.1 + -1(x + 6)

Reorder the terms:
2.8 + 2.1x = 1.1 + -1(6 + x)
2.8 + 2.1x = 1.1 + (6 * -1 + x * -1)
2.8 + 2.1x = 1.1 + (-6 + -1x)

Combine like terms: 1.1 + -6 = -4.9
2.8 + 2.1x = -4.9 + -1x

Solving
2.8 + 2.1x = -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.
2.8 + 2.1x + x = -4.9 + -1x + x

Combine like terms: 2.1x + x = 3.1x
2.8 + 3.1x = -4.9 + -1x + x

Combine like terms: -1x + x = 0
2.8 + 3.1x = -4.9 + 0
2.8 + 3.1x = -4.9

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 3.1x = -4.9 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 3.1x = -4.9 + -2.8
3.1x = -4.9 + -2.8

Combine like terms: -4.9 + -2.8 = -7.7
3.1x = -7.7

Divide each side by '3.1'.
x = -2.483870968

Simplifying
x = -2.483870968

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