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Simplifying 8x + -8y + 9 + -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 = -16y 9 + 3x + -16y + -1z = 0 Solving 9 + 3x + -16y + -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 + -16y + -9 + -1z = 0 + -9 Reorder the terms: 9 + -9 + 3x + -16y + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x + -16y + -1z = 0 + -9 3x + -16y + -1z = 0 + -9 Combine like terms: 0 + -9 = -9 3x + -16y + -1z = -9 Add '16y' to each side of the equation. 3x + -16y + 16y + -1z = -9 + 16y Combine like terms: -16y + 16y = 0 3x + 0 + -1z = -9 + 16y 3x + -1z = -9 + 16y Add 'z' to each side of the equation. 3x + -1z + z = -9 + 16y + z Combine like terms: -1z + z = 0 3x + 0 = -9 + 16y + z 3x = -9 + 16y + z Divide each side by '3'. x = -3 + 5.333333333y + 0.3333333333z Simplifying x = -3 + 5.333333333y + 0.3333333333z
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