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Simplifying 7x + 3y + 5z + -2x + 4z + -5y = 0 Reorder the terms: 7x + -2x + 3y + -5y + 5z + 4z = 0 Combine like terms: 7x + -2x = 5x 5x + 3y + -5y + 5z + 4z = 0 Combine like terms: 3y + -5y = -2y 5x + -2y + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z 5x + -2y + 9z = 0 Solving 5x + -2y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 9z = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 9z = 0 + 2y 5x + 9z = 0 + 2y Remove the zero: 5x + 9z = 2y Add '-9z' to each side of the equation. 5x + 9z + -9z = 2y + -9z Combine like terms: 9z + -9z = 0 5x + 0 = 2y + -9z 5x = 2y + -9z Divide each side by '5'. x = 0.4y + -1.8z Simplifying x = 0.4y + -1.8z
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