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Simplifying 5x + 7y + -9(5x + -2y + 9z) = 0 5x + 7y + (5x * -9 + -2y * -9 + 9z * -9) = 0 5x + 7y + (-45x + 18y + -81z) = 0 Reorder the terms: 5x + -45x + 7y + 18y + -81z = 0 Combine like terms: 5x + -45x = -40x -40x + 7y + 18y + -81z = 0 Combine like terms: 7y + 18y = 25y -40x + 25y + -81z = 0 Solving -40x + 25y + -81z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. -40x + 25y + -25y + -81z = 0 + -25y Combine like terms: 25y + -25y = 0 -40x + 0 + -81z = 0 + -25y -40x + -81z = 0 + -25y Remove the zero: -40x + -81z = -25y Add '81z' to each side of the equation. -40x + -81z + 81z = -25y + 81z Combine like terms: -81z + 81z = 0 -40x + 0 = -25y + 81z -40x = -25y + 81z Divide each side by '-40'. x = 0.625y + -2.025z Simplifying x = 0.625y + -2.025z
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