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Simplifying 0.1x + 2y + 5z = 100 Solving 0.1x + 2y + 5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 0.1x + 2y + -2y + 5z = 100 + -2y Combine like terms: 2y + -2y = 0 0.1x + 0 + 5z = 100 + -2y 0.1x + 5z = 100 + -2y Add '-5z' to each side of the equation. 0.1x + 5z + -5z = 100 + -2y + -5z Combine like terms: 5z + -5z = 0 0.1x + 0 = 100 + -2y + -5z 0.1x = 100 + -2y + -5z Divide each side by '0.1'. x = 1000 + -20y + -50z Simplifying x = 1000 + -20y + -50z
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