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