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Simplifying 10x + 2y + 0.5z = 100 Solving 10x + 2y + 0.5z = 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. 10x + 2y + -2y + 0.5z = 100 + -2y Combine like terms: 2y + -2y = 0 10x + 0 + 0.5z = 100 + -2y 10x + 0.5z = 100 + -2y Add '-0.5z' to each side of the equation. 10x + 0.5z + -0.5z = 100 + -2y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 10x + 0.0 = 100 + -2y + -0.5z 10x = 100 + -2y + -0.5z Divide each side by '10'. x = 10 + -0.2y + -0.05z Simplifying x = 10 + -0.2y + -0.05z
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