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Simplifying 7x + -1z + 6y + -7z + -12x = 0 Reorder the terms: 7x + -12x + 6y + -1z + -7z = 0 Combine like terms: 7x + -12x = -5x -5x + 6y + -1z + -7z = 0 Combine like terms: -1z + -7z = -8z -5x + 6y + -8z = 0 Solving -5x + 6y + -8z = 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. -5x + 6y + -6y + -8z = 0 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 + -8z = 0 + -6y -5x + -8z = 0 + -6y Remove the zero: -5x + -8z = -6y Add '8z' to each side of the equation. -5x + -8z + 8z = -6y + 8z Combine like terms: -8z + 8z = 0 -5x + 0 = -6y + 8z -5x = -6y + 8z Divide each side by '-5'. x = 1.2y + -1.6z Simplifying x = 1.2y + -1.6z
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