.7(2x+2)=1.1-(x-6)

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Solution for .7(2x+2)=1.1-(x-6) equation: 


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

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

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

Combine like terms: 1.1 + 6 = 7.1
1.4 + 1.4x = 7.1 + -1x

Solving
1.4 + 1.4x = 7.1 + -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 + 1.4x + x = 7.1 + -1x + x

Combine like terms: 1.4x + x = 2.4x
1.4 + 2.4x = 7.1 + -1x + x

Combine like terms: -1x + x = 0
1.4 + 2.4x = 7.1 + 0
1.4 + 2.4x = 7.1

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 2.4x = 7.1 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 2.4x = 7.1 + -1.4
2.4x = 7.1 + -1.4

Combine like terms: 7.1 + -1.4 = 5.7
2.4x = 5.7

Divide each side by '2.4'.
x = 2.375

Simplifying
x = 2.375

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