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Simplifying 12x + 3y + -6z + 15x + 2x + -3y + -3z = 0 Reorder the terms: 12x + 15x + 2x + 3y + -3y + -6z + -3z = 0 Combine like terms: 12x + 15x = 27x 27x + 2x + 3y + -3y + -6z + -3z = 0 Combine like terms: 27x + 2x = 29x 29x + 3y + -3y + -6z + -3z = 0 Combine like terms: 3y + -3y = 0 29x + 0 + -6z + -3z = 0 29x + -6z + -3z = 0 Combine like terms: -6z + -3z = -9z 29x + -9z = 0 Solving 29x + -9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9z' to each side of the equation. 29x + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 29x + 0 = 0 + 9z 29x = 0 + 9z Remove the zero: 29x = 9z Divide each side by '29'. x = 0.3103448276z Simplifying x = 0.3103448276z
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