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Simplifying 5x + 4y + -9(5x + -5y + 3z) = 0 5x + 4y + (5x * -9 + -5y * -9 + 3z * -9) = 0 5x + 4y + (-45x + 45y + -27z) = 0 Reorder the terms: 5x + -45x + 4y + 45y + -27z = 0 Combine like terms: 5x + -45x = -40x -40x + 4y + 45y + -27z = 0 Combine like terms: 4y + 45y = 49y -40x + 49y + -27z = 0 Solving -40x + 49y + -27z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y' to each side of the equation. -40x + 49y + -49y + -27z = 0 + -49y Combine like terms: 49y + -49y = 0 -40x + 0 + -27z = 0 + -49y -40x + -27z = 0 + -49y Remove the zero: -40x + -27z = -49y Add '27z' to each side of the equation. -40x + -27z + 27z = -49y + 27z Combine like terms: -27z + 27z = 0 -40x + 0 = -49y + 27z -40x = -49y + 27z Divide each side by '-40'. x = 1.225y + -0.675z Simplifying x = 1.225y + -0.675z
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