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Simplifying 3x + 5 + 2y + -1z + 1 = 0 Reorder the terms: 5 + 1 + 3x + 2y + -1z = 0 Combine like terms: 5 + 1 = 6 6 + 3x + 2y + -1z = 0 Solving 6 + 3x + 2y + -1z = 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 + 2y + -6 + -1z = 0 + -6 Reorder the terms: 6 + -6 + 3x + 2y + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + 2y + -1z = 0 + -6 3x + 2y + -1z = 0 + -6 Combine like terms: 0 + -6 = -6 3x + 2y + -1z = -6 Add '-2y' to each side of the equation. 3x + 2y + -2y + -1z = -6 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + -1z = -6 + -2y 3x + -1z = -6 + -2y Add 'z' to each side of the equation. 3x + -1z + z = -6 + -2y + z Combine like terms: -1z + z = 0 3x + 0 = -6 + -2y + z 3x = -6 + -2y + z Divide each side by '3'. x = -2 + -0.6666666667y + 0.3333333333z Simplifying x = -2 + -0.6666666667y + 0.3333333333z
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