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Simplifying 2x + y + z = 3x + y Add '-1y' to each side of the equation. 2x + y + -1y + z = 3x + y + -1y Combine like terms: y + -1y = 0 2x + 0 + z = 3x + y + -1y 2x + z = 3x + y + -1y Combine like terms: y + -1y = 0 2x + z = 3x + 0 2x + z = 3x Solving 2x + z = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x + z = 3x + -3x Combine like terms: 2x + -3x = -1x -1x + z = 3x + -3x Combine like terms: 3x + -3x = 0 -1x + z = 0 Add '-1z' to each side of the equation. -1x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -1x + 0 = 0 + -1z -1x = 0 + -1z Remove the zero: -1x = -1z Divide each side by '-1'. x = z Simplifying x = z
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