x+0.07+0.15(x+0.07x)=40

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Solution for x+0.07+0.15(x+0.07x)=40 equation: 


Simplifying
x + 0.07 + 0.15(x + 0.07x) = 40

Combine like terms: x + 0.07x = 1.07x
x + 0.07 + 0.15(1.07x) = 40

Remove parenthesis around (1.07x)
x + 0.07 + 0.15 * 1.07x = 40

Multiply 0.15 * 1.07
x + 0.07 + 0.1605x = 40

Reorder the terms:
0.07 + x + 0.1605x = 40

Combine like terms: x + 0.1605x = 1.1605x
0.07 + 1.1605x = 40

Solving
0.07 + 1.1605x = 40

Solving for variable 'x'.

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

Add '-0.07' to each side of the equation.
0.07 + -0.07 + 1.1605x = 40 + -0.07

Combine like terms: 0.07 + -0.07 = 0.00
0.00 + 1.1605x = 40 + -0.07
1.1605x = 40 + -0.07

Combine like terms: 40 + -0.07 = 39.93
1.1605x = 39.93

Divide each side by '1.1605'.
x = 34.40758294

Simplifying
x = 34.40758294

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