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Simplifying -5.5(5x + -6y + z + -9) = 0 Reorder the terms: -5.5(-9 + 5x + -6y + z) = 0 (-9 * -5.5 + 5x * -5.5 + -6y * -5.5 + z * -5.5) = 0 (49.5 + -27.5x + 33y + -5.5z) = 0 Solving 49.5 + -27.5x + 33y + -5.5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49.5' to each side of the equation. 49.5 + -27.5x + 33y + -49.5 + -5.5z = 0 + -49.5 Reorder the terms: 49.5 + -49.5 + -27.5x + 33y + -5.5z = 0 + -49.5 Combine like terms: 49.5 + -49.5 = 0.0 0.0 + -27.5x + 33y + -5.5z = 0 + -49.5 -27.5x + 33y + -5.5z = 0 + -49.5 Combine like terms: 0 + -49.5 = -49.5 -27.5x + 33y + -5.5z = -49.5 Add '-33y' to each side of the equation. -27.5x + 33y + -33y + -5.5z = -49.5 + -33y Combine like terms: 33y + -33y = 0 -27.5x + 0 + -5.5z = -49.5 + -33y -27.5x + -5.5z = -49.5 + -33y Add '5.5z' to each side of the equation. -27.5x + -5.5z + 5.5z = -49.5 + -33y + 5.5z Combine like terms: -5.5z + 5.5z = 0.0 -27.5x + 0.0 = -49.5 + -33y + 5.5z -27.5x = -49.5 + -33y + 5.5z Divide each side by '-27.5'. x = 1.8 + 1.2y + -0.2z Simplifying x = 1.8 + 1.2y + -0.2z
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