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Simplifying 9x + -2y + 17z = 13x + 81y + -27z Solving 9x + -2y + 17z = 13x + 81y + -27z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9x + -2y + -13x + 17z = 13x + 81y + -13x + -27z Reorder the terms: 9x + -13x + -2y + 17z = 13x + 81y + -13x + -27z Combine like terms: 9x + -13x = -4x -4x + -2y + 17z = 13x + 81y + -13x + -27z Reorder the terms: -4x + -2y + 17z = 13x + -13x + 81y + -27z Combine like terms: 13x + -13x = 0 -4x + -2y + 17z = 0 + 81y + -27z -4x + -2y + 17z = 81y + -27z Add '2y' to each side of the equation. -4x + -2y + 2y + 17z = 81y + 2y + -27z Combine like terms: -2y + 2y = 0 -4x + 0 + 17z = 81y + 2y + -27z -4x + 17z = 81y + 2y + -27z Combine like terms: 81y + 2y = 83y -4x + 17z = 83y + -27z Add '-17z' to each side of the equation. -4x + 17z + -17z = 83y + -27z + -17z Combine like terms: 17z + -17z = 0 -4x + 0 = 83y + -27z + -17z -4x = 83y + -27z + -17z Combine like terms: -27z + -17z = -44z -4x = 83y + -44z Divide each side by '-4'. x = -20.75y + 11z Simplifying x = -20.75y + 11z
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