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Simplifying (8x + -8y + 9) + -1(5x + -8y + -1z) = 0 Reorder the terms: (9 + 8x + -8y) + -1(5x + -8y + -1z) = 0 Remove parenthesis around (9 + 8x + -8y) 9 + 8x + -8y + -1(5x + -8y + -1z) = 0 9 + 8x + -8y + (5x * -1 + -8y * -1 + -1z * -1) = 0 9 + 8x + -8y + (-5x + 8y + 1z) = 0 Reorder the terms: 9 + 8x + -5x + -8y + 8y + 1z = 0 Combine like terms: 8x + -5x = 3x 9 + 3x + -8y + 8y + 1z = 0 Combine like terms: -8y + 8y = 0 9 + 3x + 0 + 1z = 0 9 + 3x + 1z = 0 Solving 9 + 3x + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3x + -9 + 1z = 0 + -9 Reorder the terms: 9 + -9 + 3x + 1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x + 1z = 0 + -9 3x + 1z = 0 + -9 Combine like terms: 0 + -9 = -9 3x + 1z = -9 Add '-1z' to each side of the equation. 3x + 1z + -1z = -9 + -1z Combine like terms: 1z + -1z = 0 3x + 0 = -9 + -1z 3x = -9 + -1z Divide each side by '3'. x = -3 + -0.3333333333z Simplifying x = -3 + -0.3333333333z
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