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Simplifying 90 = (100x) + (0.1y) + (0.2z) Solving 90 = (100x) + (0.1y) + (0.2z) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-100x)' to each side of the equation. 90 + (-100x) = (100x) + (0.1y) + (-100x) + (0.2z) Reorder the terms: 90 + (-100x) = (100x) + (-100x) + (0.1y) + (0.2z) Combine like terms: (100x) + (-100x) = 0 90 + (-100x) = 0 + (0.1y) + (0.2z) 90 + (-100x) = (0.1y) + (0.2z) Add '-90' to each side of the equation. 90 + -90 + (-100x) = (0.1y) + -90 + (0.2z) Combine like terms: 90 + -90 = 0 0 + (-100x) = (0.1y) + -90 + (0.2z) (-100x) = (0.1y) + -90 + (0.2z) Reorder the terms: (-100x) = -90 + (0.1y) + (0.2z) Divide each side by '-100'. x = 0.9 + (-0.001y) + (-0.002z) Simplifying x = 0.9 + (-0.001y) + (-0.002z)
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