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Simplifying x + -1y + -1z = y + -1x + z Reorder the terms: x + -1y + -1z = -1x + y + z Solving x + -1y + -1z = -1x + y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + -1y + x + -1z = -1x + y + x + z Reorder the terms: x + x + -1y + -1z = -1x + y + x + z Combine like terms: x + x = 2x 2x + -1y + -1z = -1x + y + x + z Reorder the terms: 2x + -1y + -1z = -1x + x + y + z Combine like terms: -1x + x = 0 2x + -1y + -1z = 0 + y + z 2x + -1y + -1z = y + z Add 'y' to each side of the equation. 2x + -1y + y + -1z = y + y + z Combine like terms: -1y + y = 0 2x + 0 + -1z = y + y + z 2x + -1z = y + y + z Combine like terms: y + y = 2y 2x + -1z = 2y + z Add 'z' to each side of the equation. 2x + -1z + z = 2y + z + z Combine like terms: -1z + z = 0 2x + 0 = 2y + z + z 2x = 2y + z + z Combine like terms: z + z = 2z 2x = 2y + 2z Divide each side by '2'. x = y + z Simplifying x = y + z
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