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Simplifying 9x + 12y + -9z + 7y + -4x + 3z = 0 Reorder the terms: 9x + -4x + 12y + 7y + -9z + 3z = 0 Combine like terms: 9x + -4x = 5x 5x + 12y + 7y + -9z + 3z = 0 Combine like terms: 12y + 7y = 19y 5x + 19y + -9z + 3z = 0 Combine like terms: -9z + 3z = -6z 5x + 19y + -6z = 0 Solving 5x + 19y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 5x + 19y + -19y + -6z = 0 + -19y Combine like terms: 19y + -19y = 0 5x + 0 + -6z = 0 + -19y 5x + -6z = 0 + -19y Remove the zero: 5x + -6z = -19y Add '6z' to each side of the equation. 5x + -6z + 6z = -19y + 6z Combine like terms: -6z + 6z = 0 5x + 0 = -19y + 6z 5x = -19y + 6z Divide each side by '5'. x = -3.8y + 1.2z Simplifying x = -3.8y + 1.2z
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