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Simplifying 6x + 12y + 15z = 0 Solving 6x + 12y + 15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 6x + 12y + -12y + 15z = 0 + -12y Combine like terms: 12y + -12y = 0 6x + 0 + 15z = 0 + -12y 6x + 15z = 0 + -12y Remove the zero: 6x + 15z = -12y Add '-15z' to each side of the equation. 6x + 15z + -15z = -12y + -15z Combine like terms: 15z + -15z = 0 6x + 0 = -12y + -15z 6x = -12y + -15z Divide each side by '6'. x = -2y + -2.5z Simplifying x = -2y + -2.5z
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