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