-4.6-3.7(1+4.485x)=-27.7934-.35x

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Solution for -4.6-3.7(1+4.485x)=-27.7934-.35x equation: 


Simplifying
-4.6 + -3.7(1 + 4.485x) = -27.7934 + -0.35x
-4.6 + (1 * -3.7 + 4.485x * -3.7) = -27.7934 + -0.35x
-4.6 + (-3.7 + -16.5945x) = -27.7934 + -0.35x

Combine like terms: -4.6 + -3.7 = -8.3
-8.3 + -16.5945x = -27.7934 + -0.35x

Solving
-8.3 + -16.5945x = -27.7934 + -0.35x

Solving for variable 'x'.

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

Add '0.35x' to each side of the equation.
-8.3 + -16.5945x + 0.35x = -27.7934 + -0.35x + 0.35x

Combine like terms: -16.5945x + 0.35x = -16.2445x
-8.3 + -16.2445x = -27.7934 + -0.35x + 0.35x

Combine like terms: -0.35x + 0.35x = 0.00
-8.3 + -16.2445x = -27.7934 + 0.00
-8.3 + -16.2445x = -27.7934

Add '8.3' to each side of the equation.
-8.3 + 8.3 + -16.2445x = -27.7934 + 8.3

Combine like terms: -8.3 + 8.3 = 0.0
0.0 + -16.2445x = -27.7934 + 8.3
-16.2445x = -27.7934 + 8.3

Combine like terms: -27.7934 + 8.3 = -19.4934
-16.2445x = -19.4934

Divide each side by '-16.2445'.
x = 1.2

Simplifying
x = 1.2

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