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Simplifying -7x + 6z + -1y + -5x + 12y + 4z + -1z + 5y + -1x = 0 Reorder the terms: -7x + -5x + -1x + -1y + 12y + 5y + 6z + 4z + -1z = 0 Combine like terms: -7x + -5x = -12x -12x + -1x + -1y + 12y + 5y + 6z + 4z + -1z = 0 Combine like terms: -12x + -1x = -13x -13x + -1y + 12y + 5y + 6z + 4z + -1z = 0 Combine like terms: -1y + 12y = 11y -13x + 11y + 5y + 6z + 4z + -1z = 0 Combine like terms: 11y + 5y = 16y -13x + 16y + 6z + 4z + -1z = 0 Combine like terms: 6z + 4z = 10z -13x + 16y + 10z + -1z = 0 Combine like terms: 10z + -1z = 9z -13x + 16y + 9z = 0 Solving -13x + 16y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -13x + 16y + -16y + 9z = 0 + -16y Combine like terms: 16y + -16y = 0 -13x + 0 + 9z = 0 + -16y -13x + 9z = 0 + -16y Remove the zero: -13x + 9z = -16y Add '-9z' to each side of the equation. -13x + 9z + -9z = -16y + -9z Combine like terms: 9z + -9z = 0 -13x + 0 = -16y + -9z -13x = -16y + -9z Divide each side by '-13'. x = 1.230769231y + 0.6923076923z Simplifying x = 1.230769231y + 0.6923076923z
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