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Simplifying 15x + 1y + 0.5z = 100 Solving 15x + 1y + 0.5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 15x + 1y + -1y + 0.5z = 100 + -1y Combine like terms: 1y + -1y = 0 15x + 0 + 0.5z = 100 + -1y 15x + 0.5z = 100 + -1y Add '-0.5z' to each side of the equation. 15x + 0.5z + -0.5z = 100 + -1y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 15x + 0.0 = 100 + -1y + -0.5z 15x = 100 + -1y + -0.5z Divide each side by '15'. x = 6.666666667 + -0.06666666667y + -0.03333333333z Simplifying x = 6.666666667 + -0.06666666667y + -0.03333333333z
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