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Simplifying -2x + 4y + 2z = 12 Solving -2x + 4y + 2z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -2x + 4y + -4y + 2z = 12 + -4y Combine like terms: 4y + -4y = 0 -2x + 0 + 2z = 12 + -4y -2x + 2z = 12 + -4y Add '-2z' to each side of the equation. -2x + 2z + -2z = 12 + -4y + -2z Combine like terms: 2z + -2z = 0 -2x + 0 = 12 + -4y + -2z -2x = 12 + -4y + -2z Divide each side by '-2'. x = -6 + 2y + z Simplifying x = -6 + 2y + z
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