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Simplifying 6x + 10y + -5z + x + -12y = 0 Reorder the terms: 6x + x + 10y + -12y + -5z = 0 Combine like terms: 6x + x = 7x 7x + 10y + -12y + -5z = 0 Combine like terms: 10y + -12y = -2y 7x + -2y + -5z = 0 Solving 7x + -2y + -5z = 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. 7x + -2y + 2y + -5z = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 + -5z = 0 + 2y 7x + -5z = 0 + 2y Remove the zero: 7x + -5z = 2y Add '5z' to each side of the equation. 7x + -5z + 5z = 2y + 5z Combine like terms: -5z + 5z = 0 7x + 0 = 2y + 5z 7x = 2y + 5z Divide each side by '7'. x = 0.2857142857y + 0.7142857143z Simplifying x = 0.2857142857y + 0.7142857143z
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