0.7(5x+2)=1.1-(x+6)

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Solution for 0.7(5x+2)=1.1-(x+6) equation: 


Simplifying
0.7(5x + 2) = 1.1 + -1(x + 6)

Reorder the terms:
0.7(2 + 5x) = 1.1 + -1(x + 6)
(2 * 0.7 + 5x * 0.7) = 1.1 + -1(x + 6)
(1.4 + 3.5x) = 1.1 + -1(x + 6)

Reorder the terms:
1.4 + 3.5x = 1.1 + -1(6 + x)
1.4 + 3.5x = 1.1 + (6 * -1 + x * -1)
1.4 + 3.5x = 1.1 + (-6 + -1x)

Combine like terms: 1.1 + -6 = -4.9
1.4 + 3.5x = -4.9 + -1x

Solving
1.4 + 3.5x = -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 + 3.5x + x = -4.9 + -1x + x

Combine like terms: 3.5x + x = 4.5x
1.4 + 4.5x = -4.9 + -1x + x

Combine like terms: -1x + x = 0
1.4 + 4.5x = -4.9 + 0
1.4 + 4.5x = -4.9

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 4.5x = -4.9 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 4.5x = -4.9 + -1.4
4.5x = -4.9 + -1.4

Combine like terms: -4.9 + -1.4 = -6.3
4.5x = -6.3

Divide each side by '4.5'.
x = -1.4

Simplifying
x = -1.4

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