0.7x+0.05(16-x)=0.1(-109)

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Solution for 0.7x+0.05(16-x)=0.1(-109) equation: 


Simplifying
0.7x + 0.05(16 + -1x) = 0.1(-109)
0.7x + (16 * 0.05 + -1x * 0.05) = 0.1(-109)
0.7x + (0.8 + -0.05x) = 0.1(-109)

Reorder the terms:
0.8 + 0.7x + -0.05x = 0.1(-109)

Combine like terms: 0.7x + -0.05x = 0.65x
0.8 + 0.65x = 0.1(-109)

Multiply 0.1 * -109
0.8 + 0.65x = -10.9

Solving
0.8 + 0.65x = -10.9

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.65x = -10.9 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.65x = -10.9 + -0.8
0.65x = -10.9 + -0.8

Combine like terms: -10.9 + -0.8 = -11.7
0.65x = -11.7

Divide each side by '0.65'.
x = -18

Simplifying
x = -18

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