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Simplifying 2x + -2y + 4z = 6 Solving 2x + -2y + 4z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2y + 2y + 4z = 6 + 2y Combine like terms: -2y + 2y = 0 2x + 0 + 4z = 6 + 2y 2x + 4z = 6 + 2y Add '-4z' to each side of the equation. 2x + 4z + -4z = 6 + 2y + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 6 + 2y + -4z 2x = 6 + 2y + -4z Divide each side by '2'. x = 3 + y + -2z Simplifying x = 3 + y + -2z
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