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Simplifying x + y + x + y + 2x + 2z = 0 Reorder the terms: x + x + 2x + y + y + 2z = 0 Combine like terms: x + x = 2x 2x + 2x + y + y + 2z = 0 Combine like terms: 2x + 2x = 4x 4x + y + y + 2z = 0 Combine like terms: y + y = 2y 4x + 2y + 2z = 0 Solving 4x + 2y + 2z = 0 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. 4x + 2y + -2y + 2z = 0 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + 2z = 0 + -2y 4x + 2z = 0 + -2y Remove the zero: 4x + 2z = -2y Add '-2z' to each side of the equation. 4x + 2z + -2z = -2y + -2z Combine like terms: 2z + -2z = 0 4x + 0 = -2y + -2z 4x = -2y + -2z Divide each side by '4'. x = -0.5y + -0.5z Simplifying x = -0.5y + -0.5z
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