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Simplifying (0.1x) + (0.2y) + (10z) = 90 Solving (0.1x) + (0.2y) + (10z) = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-0.2y)' to each side of the equation. (0.1x) + (0.2y) + (-0.2y) + (10z) = 90 + (-0.2y) Combine like terms: (0.2y) + (-0.2y) = 0.0 (0.1x) + 0.0 + (10z) = 90 + (-0.2y) (0.1x) + (10z) = 90 + (-0.2y) Add '(-10z)' to each side of the equation. (0.1x) + (10z) + (-10z) = 90 + (-0.2y) + (-10z) Combine like terms: (10z) + (-10z) = 0 (0.1x) + 0 = 90 + (-0.2y) + (-10z) (0.1x) = 90 + (-0.2y) + (-10z) Divide each side by '0.1'. x = 900 + (-2y) + (-100z) Simplifying x = 900 + (-2y) + (-100z)
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