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Simplifying 8x + -2y + z = 3x + 4y + -4 Reorder the terms: 8x + -2y + z = -4 + 3x + 4y Solving 8x + -2y + z = -4 + 3x + 4y 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. 8x + -2y + -3x + z = -4 + 3x + -3x + 4y Reorder the terms: 8x + -3x + -2y + z = -4 + 3x + -3x + 4y Combine like terms: 8x + -3x = 5x 5x + -2y + z = -4 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 5x + -2y + z = -4 + 0 + 4y 5x + -2y + z = -4 + 4y Add '2y' to each side of the equation. 5x + -2y + 2y + z = -4 + 4y + 2y Combine like terms: -2y + 2y = 0 5x + 0 + z = -4 + 4y + 2y 5x + z = -4 + 4y + 2y Combine like terms: 4y + 2y = 6y 5x + z = -4 + 6y Add '-1z' to each side of the equation. 5x + z + -1z = -4 + 6y + -1z Combine like terms: z + -1z = 0 5x + 0 = -4 + 6y + -1z 5x = -4 + 6y + -1z Divide each side by '5'. x = -0.8 + 1.2y + -0.2z Simplifying x = -0.8 + 1.2y + -0.2z
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