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Simplifying 3x + 8y + -7z = 0 Solving 3x + 8y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 3x + 8y + -8y + -7z = 0 + -8y Combine like terms: 8y + -8y = 0 3x + 0 + -7z = 0 + -8y 3x + -7z = 0 + -8y Remove the zero: 3x + -7z = -8y Add '7z' to each side of the equation. 3x + -7z + 7z = -8y + 7z Combine like terms: -7z + 7z = 0 3x + 0 = -8y + 7z 3x = -8y + 7z Divide each side by '3'. x = -2.666666667y + 2.333333333z Simplifying x = -2.666666667y + 2.333333333z
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