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Simplifying 100x + 20y + 1z = 100 Solving 100x + 20y + 1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 100x + 20y + -20y + 1z = 100 + -20y Combine like terms: 20y + -20y = 0 100x + 0 + 1z = 100 + -20y 100x + 1z = 100 + -20y Add '-1z' to each side of the equation. 100x + 1z + -1z = 100 + -20y + -1z Combine like terms: 1z + -1z = 0 100x + 0 = 100 + -20y + -1z 100x = 100 + -20y + -1z Divide each side by '100'. x = 1 + -0.2y + -0.01z Simplifying x = 1 + -0.2y + -0.01z
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