x+1.1x+1.1(1.1x)+1.1(1.1(1.1x))+1.1(1.1(1.1(1.1x)))=1350

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Solution for x+1.1x+1.1(1.1x)+1.1(1.1(1.1x))+1.1(1.1(1.1(1.1x)))=1350 equation: 


Simplifying
x + 1.1x + 1.1(1.1x) + 1.1(1.1(1.1x)) + 1.1(1.1(1.1(1.1x))) = 1350

Remove parenthesis around (1.1x)
x + 1.1x + 1.1 * 1.1x + 1.1(1.1(1.1x)) + 1.1(1.1(1.1(1.1x))) = 1350

Multiply 1.1 * 1.1
x + 1.1x + 1.21x + 1.1(1.1(1.1x)) + 1.1(1.1(1.1(1.1x))) = 1350

Remove parenthesis around (1.1x)
x + 1.1x + 1.21x + 1.1(1.1 * 1.1x) + 1.1(1.1(1.1(1.1x))) = 1350

Multiply 1.1 * 1.1
x + 1.1x + 1.21x + 1.1(1.21x) + 1.1(1.1(1.1(1.1x))) = 1350

Remove parenthesis around (1.21x)
x + 1.1x + 1.21x + 1.1 * 1.21x + 1.1(1.1(1.1(1.1x))) = 1350

Multiply 1.1 * 1.21
x + 1.1x + 1.21x + 1.331x + 1.1(1.1(1.1(1.1x))) = 1350

Remove parenthesis around (1.1x)
x + 1.1x + 1.21x + 1.331x + 1.1(1.1(1.1 * 1.1x)) = 1350

Multiply 1.1 * 1.1
x + 1.1x + 1.21x + 1.331x + 1.1(1.1(1.21x)) = 1350

Remove parenthesis around (1.21x)
x + 1.1x + 1.21x + 1.331x + 1.1(1.1 * 1.21x) = 1350

Multiply 1.1 * 1.21
x + 1.1x + 1.21x + 1.331x + 1.1(1.331x) = 1350

Remove parenthesis around (1.331x)
x + 1.1x + 1.21x + 1.331x + 1.1 * 1.331x = 1350

Multiply 1.1 * 1.331
x + 1.1x + 1.21x + 1.331x + 1.4641x = 1350

Combine like terms: x + 1.1x = 2.1x
2.1x + 1.21x + 1.331x + 1.4641x = 1350

Combine like terms: 2.1x + 1.21x = 3.31x
3.31x + 1.331x + 1.4641x = 1350

Combine like terms: 3.31x + 1.331x = 4.641x
4.641x + 1.4641x = 1350

Combine like terms: 4.641x + 1.4641x = 6.1051x
6.1051x = 1350

Solving
6.1051x = 1350

Solving for variable 'x'.

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

Divide each side by '6.1051'.
x = 221.1265991

Simplifying
x = 221.1265991

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