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Simplifying 0 = 7x + 5y + 8z + -2x + 4z + -6y Reorder the terms: 0 = 7x + -2x + 5y + -6y + 8z + 4z Combine like terms: 7x + -2x = 5x 0 = 5x + 5y + -6y + 8z + 4z Combine like terms: 5y + -6y = -1y 0 = 5x + -1y + 8z + 4z Combine like terms: 8z + 4z = 12z 0 = 5x + -1y + 12z Solving 0 = 5x + -1y + 12z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0 + -5x = 5x + -1y + -5x + 12z Remove the zero: -5x = 5x + -1y + -5x + 12z Reorder the terms: -5x = 5x + -5x + -1y + 12z Combine like terms: 5x + -5x = 0 -5x = 0 + -1y + 12z -5x = -1y + 12z Divide each side by '-5'. x = 0.2y + -2.4z Simplifying x = 0.2y + -2.4z
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