.23x+.35x+.05x+.40x+.40x(.35)+x=70

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Solution for .23x+.35x+.05x+.40x+.40x(.35)+x=70 equation:


Simplifying
0.23x + 0.35x + 0.05x + 0.40x + 0.40x(0.35) + x = 70

Reorder the terms for easier multiplication:
0.23x + 0.35x + 0.05x + 0.40x + 0.40 * 0.35x + x = 70

Multiply 0.40 * 0.35
0.23x + 0.35x + 0.05x + 0.40x + 0.14x + x = 70

Combine like terms: 0.23x + 0.35x = 0.58x
0.58x + 0.05x + 0.40x + 0.14x + x = 70

Combine like terms: 0.58x + 0.05x = 0.63x
0.63x + 0.40x + 0.14x + x = 70

Combine like terms: 0.63x + 0.40x = 1.03x
1.03x + 0.14x + x = 70

Combine like terms: 1.03x + 0.14x = 1.17x
1.17x + x = 70

Combine like terms: 1.17x + x = 2.17x
2.17x = 70

Solving
2.17x = 70

Solving for variable 'x'.

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

Divide each side by '2.17'.
x = 32.25806452

Simplifying
x = 32.25806452

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