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Simplifying 0.4x + 0.4 + 0.2z = 17.3 Reorder the terms: 0.4 + 0.4x + 0.2z = 17.3 Solving 0.4 + 0.4x + 0.2z = 17.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + 0.4x + -0.4 + 0.2z = 17.3 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.4x + 0.2z = 17.3 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4x + 0.2z = 17.3 + -0.4 0.4x + 0.2z = 17.3 + -0.4 Combine like terms: 17.3 + -0.4 = 16.9 0.4x + 0.2z = 16.9 Add '-0.2z' to each side of the equation. 0.4x + 0.2z + -0.2z = 16.9 + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 0.4x + 0.0 = 16.9 + -0.2z 0.4x = 16.9 + -0.2z Divide each side by '0.4'. x = 42.25 + -0.5z Simplifying x = 42.25 + -0.5z
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