(58*0.35+X*0.35+32*0.3)*0.7+X*0.3=40

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Solution for (58*0.35+X*0.35+32*0.3)*0.7+X*0.3=40 equation: 


Simplifying
(58 * 0.35 + X * 0.35 + 32 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 58 * 0.35
(20.3 + X * 0.35 + 32 * 0.3) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
(20.3 + 0.35X + 32 * 0.3) * 0.7 + X * 0.3 = 40

Multiply 32 * 0.3
(20.3 + 0.35X + 9.6) * 0.7 + X * 0.3 = 40

Reorder the terms:
(20.3 + 9.6 + 0.35X) * 0.7 + X * 0.3 = 40

Combine like terms: 20.3 + 9.6 = 29.9
(29.9 + 0.35X) * 0.7 + X * 0.3 = 40

Reorder the terms for easier multiplication:
0.7(29.9 + 0.35X) + X * 0.3 = 40
(29.9 * 0.7 + 0.35X * 0.7) + X * 0.3 = 40
(20.93 + 0.245X) + X * 0.3 = 40

Reorder the terms for easier multiplication:
20.93 + 0.245X + 0.3X = 40

Combine like terms: 0.245X + 0.3X = 0.545X
20.93 + 0.545X = 40

Solving
20.93 + 0.545X = 40

Solving for variable 'X'.

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

Add '-20.93' to each side of the equation.
20.93 + -20.93 + 0.545X = 40 + -20.93

Combine like terms: 20.93 + -20.93 = 0.00
0.00 + 0.545X = 40 + -20.93
0.545X = 40 + -20.93

Combine like terms: 40 + -20.93 = 19.07
0.545X = 19.07

Divide each side by '0.545'.
X = 34.99082569

Simplifying
X = 34.99082569

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