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Simplifying 4x + 5y + -6(4x + -9y + 4z) = 0 4x + 5y + (4x * -6 + -9y * -6 + 4z * -6) = 0 4x + 5y + (-24x + 54y + -24z) = 0 Reorder the terms: 4x + -24x + 5y + 54y + -24z = 0 Combine like terms: 4x + -24x = -20x -20x + 5y + 54y + -24z = 0 Combine like terms: 5y + 54y = 59y -20x + 59y + -24z = 0 Solving -20x + 59y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59y' to each side of the equation. -20x + 59y + -59y + -24z = 0 + -59y Combine like terms: 59y + -59y = 0 -20x + 0 + -24z = 0 + -59y -20x + -24z = 0 + -59y Remove the zero: -20x + -24z = -59y Add '24z' to each side of the equation. -20x + -24z + 24z = -59y + 24z Combine like terms: -24z + 24z = 0 -20x + 0 = -59y + 24z -20x = -59y + 24z Divide each side by '-20'. x = 2.95y + -1.2z Simplifying x = 2.95y + -1.2z
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