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