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Simplifying 3x + 4y + z + -12 = 0 Reorder the terms: -12 + 3x + 4y + z = 0 Solving -12 + 3x + 4y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3x + 4y + 12 + z = 0 + 12 Reorder the terms: -12 + 12 + 3x + 4y + z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x + 4y + z = 0 + 12 3x + 4y + z = 0 + 12 Combine like terms: 0 + 12 = 12 3x + 4y + z = 12 Add '-4y' to each side of the equation. 3x + 4y + -4y + z = 12 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + z = 12 + -4y 3x + z = 12 + -4y Add '-1z' to each side of the equation. 3x + z + -1z = 12 + -4y + -1z Combine like terms: z + -1z = 0 3x + 0 = 12 + -4y + -1z 3x = 12 + -4y + -1z Divide each side by '3'. x = 4 + -1.333333333y + -0.3333333333z Simplifying x = 4 + -1.333333333y + -0.3333333333z
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