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Simplifying 0.4375(x + -5y + -4z) = 0 (x * 0.4375 + -5y * 0.4375 + -4z * 0.4375) = 0 (0.4375x + -2.1875y + -1.75z) = 0 Solving 0.4375x + -2.1875y + -1.75z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1875y' to each side of the equation. 0.4375x + -2.1875y + 2.1875y + -1.75z = 0 + 2.1875y Combine like terms: -2.1875y + 2.1875y = 0.0000 0.4375x + 0.0000 + -1.75z = 0 + 2.1875y 0.4375x + -1.75z = 0 + 2.1875y Remove the zero: 0.4375x + -1.75z = 2.1875y Add '1.75z' to each side of the equation. 0.4375x + -1.75z + 1.75z = 2.1875y + 1.75z Combine like terms: -1.75z + 1.75z = 0.00 0.4375x + 0.00 = 2.1875y + 1.75z 0.4375x = 2.1875y + 1.75z Divide each side by '0.4375'. x = 5y + 4z Simplifying x = 5y + 4z
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