-0.3(2x+6)=0.2[4.5+(-1)]+7.4

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Solution for -0.3(2x+6)=0.2[4.5+(-1)]+7.4 equation: 


Simplifying
-0.3(2x + 6) = 0.2[4.5 + (-1)] + 7.4

Reorder the terms:
-0.3(6 + 2x) = 0.2[4.5 + (-1)] + 7.4
(6 * -0.3 + 2x * -0.3) = 0.2[4.5 + (-1)] + 7.4
(-1.8 + -0.6x) = 0.2[4.5 + (-1)] + 7.4
-1.8 + -0.6x = 0.2[4.5 + -1] + 7.4

Combine like terms: 4.5 + -1 = 3.5
-1.8 + -0.6x = 0.2[3.5] + 7.4

Multiply 0.2 * 3.5
-1.8 + -0.6x = 0.7 + 7.4

Combine like terms: 0.7 + 7.4 = 8.1
-1.8 + -0.6x = 8.1

Solving
-1.8 + -0.6x = 8.1

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.6x = 8.1 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.6x = 8.1 + 1.8
-0.6x = 8.1 + 1.8

Combine like terms: 8.1 + 1.8 = 9.9
-0.6x = 9.9

Divide each side by '-0.6'.
x = -16.5

Simplifying
x = -16.5

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