0.9(x+100)+0.9x=171

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Solution for 0.9(x+100)+0.9x=171 equation: 


Simplifying
0.9(x + 100) + 0.9x = 171

Reorder the terms:
0.9(100 + x) + 0.9x = 171
(100 * 0.9 + x * 0.9) + 0.9x = 171
(90 + 0.9x) + 0.9x = 171

Combine like terms: 0.9x + 0.9x = 1.8x
90 + 1.8x = 171

Solving
90 + 1.8x = 171

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 1.8x = 171 + -90

Combine like terms: 90 + -90 = 0
0 + 1.8x = 171 + -90
1.8x = 171 + -90

Combine like terms: 171 + -90 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45

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