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Simplifying 0.5x + 2y + 3z = 100 Solving 0.5x + 2y + 3z = 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. 0.5x + 2y + -2y + 3z = 100 + -2y Combine like terms: 2y + -2y = 0 0.5x + 0 + 3z = 100 + -2y 0.5x + 3z = 100 + -2y Add '-3z' to each side of the equation. 0.5x + 3z + -3z = 100 + -2y + -3z Combine like terms: 3z + -3z = 0 0.5x + 0 = 100 + -2y + -3z 0.5x = 100 + -2y + -3z Divide each side by '0.5'. x = 200 + -4y + -6z Simplifying x = 200 + -4y + -6z
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