70.79=0.1x+0.06(x-0.1x)

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Solution for 70.79=0.1x+0.06(x-0.1x) equation: 


Simplifying
70.79 = 0.1x + 0.06(x + -0.1x)

Combine like terms: x + -0.1x = 0.9x
70.79 = 0.1x + 0.06(0.9x)

Remove parenthesis around (0.9x)
70.79 = 0.1x + 0.06 * 0.9x

Multiply 0.06 * 0.9
70.79 = 0.1x + 0.054x

Combine like terms: 0.1x + 0.054x = 0.154x
70.79 = 0.154x

Solving
70.79 = 0.154x

Solving for variable 'x'.

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

Add '-0.154x' to each side of the equation.
70.79 + -0.154x = 0.154x + -0.154x

Combine like terms: 0.154x + -0.154x = 0.000
70.79 + -0.154x = 0.000

Add '-70.79' to each side of the equation.
70.79 + -70.79 + -0.154x = 0.000 + -70.79

Combine like terms: 70.79 + -70.79 = 0.00
0.00 + -0.154x = 0.000 + -70.79
-0.154x = 0.000 + -70.79

Combine like terms: 0.000 + -70.79 = -70.79
-0.154x = -70.79

Divide each side by '-0.154'.
x = 459.6753247

Simplifying
x = 459.6753247

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