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Simplifying x + 2y + z = -2 + -2x + 4y + -4z Solving x + 2y + z = -2 + -2x + 4y + -4z 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 + 2y + 2x + z = -2 + -2x + 4y + 2x + -4z Reorder the terms: x + 2x + 2y + z = -2 + -2x + 4y + 2x + -4z Combine like terms: x + 2x = 3x 3x + 2y + z = -2 + -2x + 4y + 2x + -4z Reorder the terms: 3x + 2y + z = -2 + -2x + 2x + 4y + -4z Combine like terms: -2x + 2x = 0 3x + 2y + z = -2 + 0 + 4y + -4z 3x + 2y + z = -2 + 4y + -4z Add '-2y' to each side of the equation. 3x + 2y + -2y + z = -2 + 4y + -2y + -4z Combine like terms: 2y + -2y = 0 3x + 0 + z = -2 + 4y + -2y + -4z 3x + z = -2 + 4y + -2y + -4z Combine like terms: 4y + -2y = 2y 3x + z = -2 + 2y + -4z Add '-1z' to each side of the equation. 3x + z + -1z = -2 + 2y + -4z + -1z Combine like terms: z + -1z = 0 3x + 0 = -2 + 2y + -4z + -1z 3x = -2 + 2y + -4z + -1z Combine like terms: -4z + -1z = -5z 3x = -2 + 2y + -5z Divide each side by '3'. x = -0.6666666667 + 0.6666666667y + -1.666666667z Simplifying x = -0.6666666667 + 0.6666666667y + -1.666666667z
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