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Simplifying 0 = 7x + 5y + 6z + -5x + 4z + -6y Reorder the terms: 0 = 7x + -5x + 5y + -6y + 6z + 4z Combine like terms: 7x + -5x = 2x 0 = 2x + 5y + -6y + 6z + 4z Combine like terms: 5y + -6y = -1y 0 = 2x + -1y + 6z + 4z Combine like terms: 6z + 4z = 10z 0 = 2x + -1y + 10z Solving 0 = 2x + -1y + 10z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0 + -2x = 2x + -1y + -2x + 10z Remove the zero: -2x = 2x + -1y + -2x + 10z Reorder the terms: -2x = 2x + -2x + -1y + 10z Combine like terms: 2x + -2x = 0 -2x = 0 + -1y + 10z -2x = -1y + 10z Divide each side by '-2'. x = 0.5y + -5z Simplifying x = 0.5y + -5z
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