1.3(x+6)-(7.1+0.3x)=-6+4

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Solution for 1.3(x+6)-(7.1+0.3x)=-6+4 equation: 


Simplifying
1.3(x + 6) + -1(7.1 + 0.3x) = -6 + 4

Reorder the terms:
1.3(6 + x) + -1(7.1 + 0.3x) = -6 + 4
(6 * 1.3 + x * 1.3) + -1(7.1 + 0.3x) = -6 + 4
(7.8 + 1.3x) + -1(7.1 + 0.3x) = -6 + 4
7.8 + 1.3x + (7.1 * -1 + 0.3x * -1) = -6 + 4
7.8 + 1.3x + (-7.1 + -0.3x) = -6 + 4

Reorder the terms:
7.8 + -7.1 + 1.3x + -0.3x = -6 + 4

Combine like terms: 7.8 + -7.1 = 0.7
0.7 + 1.3x + -0.3x = -6 + 4

Combine like terms: 1.3x + -0.3x = 1x
0.7 + 1x = -6 + 4

Combine like terms: -6 + 4 = -2
0.7 + 1x = -2

Solving
0.7 + 1x = -2

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1x = -2 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1x = -2 + -0.7
1x = -2 + -0.7

Combine like terms: -2 + -0.7 = -2.7
1x = -2.7

Divide each side by '1'.
x = -2.7

Simplifying
x = -2.7

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