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Simplifying x + -2y + z = 3x + -4z Solving x + -2y + z = 3x + -4z 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. x + -2y + -3x + z = 3x + -3x + -4z Reorder the terms: x + -3x + -2y + z = 3x + -3x + -4z Combine like terms: x + -3x = -2x -2x + -2y + z = 3x + -3x + -4z Combine like terms: 3x + -3x = 0 -2x + -2y + z = 0 + -4z -2x + -2y + z = -4z Add '2y' to each side of the equation. -2x + -2y + 2y + z = 2y + -4z Combine like terms: -2y + 2y = 0 -2x + 0 + z = 2y + -4z -2x + z = 2y + -4z Add '-1z' to each side of the equation. -2x + z + -1z = 2y + -4z + -1z Combine like terms: z + -1z = 0 -2x + 0 = 2y + -4z + -1z -2x = 2y + -4z + -1z Combine like terms: -4z + -1z = -5z -2x = 2y + -5z Divide each side by '-2'. x = -1y + 2.5z Simplifying x = -1y + 2.5z
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