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Simplifying 0.4x + -0.2y + 0.1z = 0.4 Solving 0.4x + -0.2y + 0.1z = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2y' to each side of the equation. 0.4x + -0.2y + 0.2y + 0.1z = 0.4 + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 0.4x + 0.0 + 0.1z = 0.4 + 0.2y 0.4x + 0.1z = 0.4 + 0.2y Add '-0.1z' to each side of the equation. 0.4x + 0.1z + -0.1z = 0.4 + 0.2y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 0.4x + 0.0 = 0.4 + 0.2y + -0.1z 0.4x = 0.4 + 0.2y + -0.1z Divide each side by '0.4'. x = 1 + 0.5y + -0.25z Simplifying x = 1 + 0.5y + -0.25z
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