x+0.07x+0.1(x+0.07x)=49

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Solution for x+0.07x+0.1(x+0.07x)=49 equation: 


Simplifying
x + 0.07x + 0.1(x + 0.07x) = 49

Combine like terms: x + 0.07x = 1.07x
x + 0.07x + 0.1(1.07x) = 49

Remove parenthesis around (1.07x)
x + 0.07x + 0.1 * 1.07x = 49

Multiply 0.1 * 1.07
x + 0.07x + 0.107x = 49

Combine like terms: x + 0.07x = 1.07x
1.07x + 0.107x = 49

Combine like terms: 1.07x + 0.107x = 1.177x
1.177x = 49

Solving
1.177x = 49

Solving for variable 'x'.

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

Divide each side by '1.177'.
x = 41.63126593

Simplifying
x = 41.63126593

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