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Simplifying -7x + 3z + -8y + -5x + 12y + 4z + -1z + 2y + -1x = 0 Reorder the terms: -7x + -5x + -1x + -8y + 12y + 2y + 3z + 4z + -1z = 0 Combine like terms: -7x + -5x = -12x -12x + -1x + -8y + 12y + 2y + 3z + 4z + -1z = 0 Combine like terms: -12x + -1x = -13x -13x + -8y + 12y + 2y + 3z + 4z + -1z = 0 Combine like terms: -8y + 12y = 4y -13x + 4y + 2y + 3z + 4z + -1z = 0 Combine like terms: 4y + 2y = 6y -13x + 6y + 3z + 4z + -1z = 0 Combine like terms: 3z + 4z = 7z -13x + 6y + 7z + -1z = 0 Combine like terms: 7z + -1z = 6z -13x + 6y + 6z = 0 Solving -13x + 6y + 6z = 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. -13x + 6y + -6y + 6z = 0 + -6y Combine like terms: 6y + -6y = 0 -13x + 0 + 6z = 0 + -6y -13x + 6z = 0 + -6y Remove the zero: -13x + 6z = -6y Add '-6z' to each side of the equation. -13x + 6z + -6z = -6y + -6z Combine like terms: 6z + -6z = 0 -13x + 0 = -6y + -6z -13x = -6y + -6z Divide each side by '-13'. x = 0.4615384615y + 0.4615384615z Simplifying x = 0.4615384615y + 0.4615384615z
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