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Simplifying 500 = 5x + 1z + 0.1y Reorder the terms: 500 = 5x + 0.1y + 1z Solving 500 = 5x + 0.1y + 1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 500 + -5x = 5x + 0.1y + -5x + 1z Reorder the terms: 500 + -5x = 5x + -5x + 0.1y + 1z Combine like terms: 5x + -5x = 0 500 + -5x = 0 + 0.1y + 1z 500 + -5x = 0.1y + 1z Add '-500' to each side of the equation. 500 + -500 + -5x = 0.1y + -500 + 1z Combine like terms: 500 + -500 = 0 0 + -5x = 0.1y + -500 + 1z -5x = 0.1y + -500 + 1z Reorder the terms: -5x = -500 + 0.1y + 1z Divide each side by '-5'. x = 100 + -0.02y + -0.2z Simplifying x = 100 + -0.02y + -0.2z
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