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Simplifying 0.1(x + -4y + -5z) = 0 (x * 0.1 + -4y * 0.1 + -5z * 0.1) = 0 (0.1x + -0.4y + -0.5z) = 0 Solving 0.1x + -0.4y + -0.5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4y' to each side of the equation. 0.1x + -0.4y + 0.4y + -0.5z = 0 + 0.4y Combine like terms: -0.4y + 0.4y = 0.0 0.1x + 0.0 + -0.5z = 0 + 0.4y 0.1x + -0.5z = 0 + 0.4y Remove the zero: 0.1x + -0.5z = 0.4y Add '0.5z' to each side of the equation. 0.1x + -0.5z + 0.5z = 0.4y + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 0.1x + 0.0 = 0.4y + 0.5z 0.1x = 0.4y + 0.5z Divide each side by '0.1'. x = 4y + 5z Simplifying x = 4y + 5z
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