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