x+(x*.08*.07)+(x*.05*.32)=102.16

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Solution for x+(x*.08*.07)+(x*.05*.32)=102.16 equation: 


Simplifying
x + (x * 0.08 * 0.07) + (x * 0.05 * 0.32) = 102.16

Reorder the terms for easier multiplication:
x + (0.08 * 0.07x) + (x * 0.05 * 0.32) = 102.16

Multiply 0.08 * 0.07
x + (0.0056x) + (x * 0.05 * 0.32) = 102.16

Reorder the terms for easier multiplication:
x + (0.0056x) + (0.05 * 0.32x) = 102.16

Multiply 0.05 * 0.32
x + (0.0056x) + (0.016x) = 102.16

Combine like terms: x + (0.0056x) = 1.0056x
1.0056x + (0.016x) = 102.16

Combine like terms: 1.0056x + (0.016x) = 1.0216x
1.0216x = 102.16

Solving
1.0216x = 102.16

Solving for variable 'x'.

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

Divide each side by '1.0216'.
x = 100

Simplifying
x = 100

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