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Simplifying 5 + 7x + 3 + 4y + z = 0 Reorder the terms: 5 + 3 + 7x + 4y + z = 0 Combine like terms: 5 + 3 = 8 8 + 7x + 4y + z = 0 Solving 8 + 7x + 4y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 7x + 4y + -8 + z = 0 + -8 Reorder the terms: 8 + -8 + 7x + 4y + z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x + 4y + z = 0 + -8 7x + 4y + z = 0 + -8 Combine like terms: 0 + -8 = -8 7x + 4y + z = -8 Add '-4y' to each side of the equation. 7x + 4y + -4y + z = -8 + -4y Combine like terms: 4y + -4y = 0 7x + 0 + z = -8 + -4y 7x + z = -8 + -4y Add '-1z' to each side of the equation. 7x + z + -1z = -8 + -4y + -1z Combine like terms: z + -1z = 0 7x + 0 = -8 + -4y + -1z 7x = -8 + -4y + -1z Divide each side by '7'. x = -1.142857143 + -0.5714285714y + -0.1428571429z Simplifying x = -1.142857143 + -0.5714285714y + -0.1428571429z
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