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Simplifying 3x + 5y + -7z + -8 = 0 Reorder the terms: -8 + 3x + 5y + -7z = 0 Solving -8 + 3x + 5y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3x + 5y + 8 + -7z = 0 + 8 Reorder the terms: -8 + 8 + 3x + 5y + -7z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x + 5y + -7z = 0 + 8 3x + 5y + -7z = 0 + 8 Combine like terms: 0 + 8 = 8 3x + 5y + -7z = 8 Add '-5y' to each side of the equation. 3x + 5y + -5y + -7z = 8 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -7z = 8 + -5y 3x + -7z = 8 + -5y Add '7z' to each side of the equation. 3x + -7z + 7z = 8 + -5y + 7z Combine like terms: -7z + 7z = 0 3x + 0 = 8 + -5y + 7z 3x = 8 + -5y + 7z Divide each side by '3'. x = 2.666666667 + -1.666666667y + 2.333333333z Simplifying x = 2.666666667 + -1.666666667y + 2.333333333z
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