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Simplifying 3x + 6y + -15z = 0 Solving 3x + 6y + -15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 3x + 6y + -6y + -15z = 0 + -6y Combine like terms: 6y + -6y = 0 3x + 0 + -15z = 0 + -6y 3x + -15z = 0 + -6y Remove the zero: 3x + -15z = -6y Add '15z' to each side of the equation. 3x + -15z + 15z = -6y + 15z Combine like terms: -15z + 15z = 0 3x + 0 = -6y + 15z 3x = -6y + 15z Divide each side by '3'. x = -2y + 5z Simplifying x = -2y + 5z
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