.1x+(.05)(.15x)=6.75

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Solution for .1x+(.05)(.15x)=6.75 equation: 


Simplifying
0.1x + (0.05)(0.15x) = 6.75

Remove parenthesis around (0.15x)
0.1x + 0.05 * 0.15x = 6.75

Multiply 0.05 * 0.15
0.1x + 0.0075x = 6.75

Combine like terms: 0.1x + 0.0075x = 0.1075x
0.1075x = 6.75

Solving
0.1075x = 6.75

Solving for variable 'x'.

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

Divide each side by '0.1075'.
x = 62.79069767

Simplifying
x = 62.79069767

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