(60*0.35+X*0.35+55*0.3)*0.7+X*0.3=40

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Solution for (60*0.35+X*0.35+55*0.3)*0.7+X*0.3=40 equation: 


Simplifying
(60 * 0.35 + X * 0.35 + 55 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 60 * 0.35
(21 + X * 0.35 + 55 * 0.3) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
(21 + 0.35X + 55 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 55 * 0.3
(21 + 0.35X + 16.5) * 0.7 + X * 0.3 = 40

Reorder the terms:
(21 + 16.5 + 0.35X) * 0.7 + X * 0.3 = 40

Combine like terms: 21 + 16.5 = 37.5
(37.5 + 0.35X) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
0.7(37.5 + 0.35X) + X * 0.3 = 40
(37.5 * 0.7 + 0.35X * 0.7) + X * 0.3 = 40
(26.25 + 0.245X) + X * 0.3 = 40

Reorder the terms for easier multiplication:
26.25 + 0.245X + 0.3X = 40

Combine like terms: 0.245X + 0.3X = 0.545X
26.25 + 0.545X = 40

Solving
26.25 + 0.545X = 40

Solving for variable 'X'.

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

Add '-26.25' to each side of the equation.
26.25 + -26.25 + 0.545X = 40 + -26.25

Combine like terms: 26.25 + -26.25 = 0.00
0.00 + 0.545X = 40 + -26.25
0.545X = 40 + -26.25

Combine like terms: 40 + -26.25 = 13.75
0.545X = 13.75

Divide each side by '0.545'.
X = 25.2293578

Simplifying
X = 25.2293578

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