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Simplifying 3x + 4z + 6 = 0 Reorder the terms: 6 + 3x + 4z = 0 Solving 6 + 3x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3x + -6 + 4z = 0 + -6 Reorder the terms: 6 + -6 + 3x + 4z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + 4z = 0 + -6 3x + 4z = 0 + -6 Combine like terms: 0 + -6 = -6 3x + 4z = -6 Add '-4z' to each side of the equation. 3x + 4z + -4z = -6 + -4z Combine like terms: 4z + -4z = 0 3x + 0 = -6 + -4z 3x = -6 + -4z Divide each side by '3'. x = -2 + -1.333333333z Simplifying x = -2 + -1.333333333z
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