-45.14+(.02*4.18*x-100)+50.03+(.150*4.184*x-0)=0

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Solution for -45.14+(.02*4.18*x-100)+50.03+(.150*4.184*x-0)=0 equation: 


Simplifying
-45.14 + (0.02 * 4.18x + -100) + 50.03 + (0.150 * 4.184x + 0) = 0

Multiply 0.02 * 4.18
-45.14 + (0.0836x + -100) + 50.03 + (0.150 * 4.184x + 0) = 0

Reorder the terms:
-45.14 + (-100 + 0.0836x) + 50.03 + (0.150 * 4.184x + 0) = 0

Remove parenthesis around (-100 + 0.0836x)
-45.14 + -100 + 0.0836x + 50.03 + (0.150 * 4.184x + 0) = 0

Multiply 0.150 * 4.184
-45.14 + -100 + 0.0836x + 50.03 + (0.6276x + 0) = 0

Reorder the terms:
-45.14 + -100 + 0.0836x + 50.03 + (0 + 0.6276x) = 0
Remove the zero:
-45.14 + -100 + 0.0836x + 50.03 + (0.6276x) = 0
-45.14 + -100 + 0.0836x + 50.03 + (0.6276x) = 0

Reorder the terms:
-45.14 + -100 + 50.03 + 0.0836x + (0.6276x) = 0

Combine like terms: -45.14 + -100 = -145.14
-145.14 + 50.03 + 0.0836x + (0.6276x) = 0

Combine like terms: -145.14 + 50.03 = -95.11
-95.11 + 0.0836x + (0.6276x) = 0

Combine like terms: 0.0836x + (0.6276x) = 0.7112x
-95.11 + 0.7112x = 0

Solving
-95.11 + 0.7112x = 0

Solving for variable 'x'.

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

Add '95.11' to each side of the equation.
-95.11 + 95.11 + 0.7112x = 0 + 95.11

Combine like terms: -95.11 + 95.11 = 0.00
0.00 + 0.7112x = 0 + 95.11
0.7112x = 0 + 95.11

Combine like terms: 0 + 95.11 = 95.11
0.7112x = 95.11

Divide each side by '0.7112'.
x = 133.731721

Simplifying
x = 133.731721

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