(45*0.35+X*0.35+30*0.3)*0.7+X*0.3=40

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Solution for (45*0.35+X*0.35+30*0.3)*0.7+X*0.3=40 equation: 


Simplifying
(45 * 0.35 + X * 0.35 + 30 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 45 * 0.35
(15.75 + X * 0.35 + 30 * 0.3) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
(15.75 + 0.35X + 30 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 30 * 0.3
(15.75 + 0.35X + 9) * 0.7 + X * 0.3 = 40

Reorder the terms:
(15.75 + 9 + 0.35X) * 0.7 + X * 0.3 = 40

Combine like terms: 15.75 + 9 = 24.75
(24.75 + 0.35X) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
0.7(24.75 + 0.35X) + X * 0.3 = 40
(24.75 * 0.7 + 0.35X * 0.7) + X * 0.3 = 40
(17.325 + 0.245X) + X * 0.3 = 40

Reorder the terms for easier multiplication:
17.325 + 0.245X + 0.3X = 40

Combine like terms: 0.245X + 0.3X = 0.545X
17.325 + 0.545X = 40

Solving
17.325 + 0.545X = 40

Solving for variable 'X'.

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

Add '-17.325' to each side of the equation.
17.325 + -17.325 + 0.545X = 40 + -17.325

Combine like terms: 17.325 + -17.325 = 0.000
0.000 + 0.545X = 40 + -17.325
0.545X = 40 + -17.325

Combine like terms: 40 + -17.325 = 22.675
0.545X = 22.675

Divide each side by '0.545'.
X = 41.60550459

Simplifying
X = 41.60550459

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