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Simplifying 3x + -2y + z + 4 = 0 Reorder the terms: 4 + 3x + -2y + z = 0 Solving 4 + 3x + -2y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -2y + -4 + z = 0 + -4 Reorder the terms: 4 + -4 + 3x + -2y + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + -2y + z = 0 + -4 3x + -2y + z = 0 + -4 Combine like terms: 0 + -4 = -4 3x + -2y + z = -4 Add '2y' to each side of the equation. 3x + -2y + 2y + z = -4 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + z = -4 + 2y 3x + z = -4 + 2y Add '-1z' to each side of the equation. 3x + z + -1z = -4 + 2y + -1z Combine like terms: z + -1z = 0 3x + 0 = -4 + 2y + -1z 3x = -4 + 2y + -1z Divide each side by '3'. x = -1.333333333 + 0.6666666667y + -0.3333333333z Simplifying x = -1.333333333 + 0.6666666667y + -0.3333333333z
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