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Simplifying 3x + 0y + 1z + -4 = 0 Anything times zero is zero. 3x + 0y + 1z + -4 = 0 Reorder the terms: 0 + -4 + 3x + 1z = 0 Combine like terms: 0 + -4 = -4 -4 + 3x + 1z = 0 Solving -4 + 3x + 1z = 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 + 4 + 1z = 0 + 4 Reorder the terms: -4 + 4 + 3x + 1z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x + 1z = 0 + 4 3x + 1z = 0 + 4 Combine like terms: 0 + 4 = 4 3x + 1z = 4 Add '-1z' to each side of the equation. 3x + 1z + -1z = 4 + -1z Combine like terms: 1z + -1z = 0 3x + 0 = 4 + -1z 3x = 4 + -1z Divide each side by '3'. x = 1.333333333 + -0.3333333333z Simplifying x = 1.333333333 + -0.3333333333z
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