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Simplifying 8x + 5y + -4x + 6y + -7z = 0 Reorder the terms: 8x + -4x + 5y + 6y + -7z = 0 Combine like terms: 8x + -4x = 4x 4x + 5y + 6y + -7z = 0 Combine like terms: 5y + 6y = 11y 4x + 11y + -7z = 0 Solving 4x + 11y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 4x + 11y + -11y + -7z = 0 + -11y Combine like terms: 11y + -11y = 0 4x + 0 + -7z = 0 + -11y 4x + -7z = 0 + -11y Remove the zero: 4x + -7z = -11y Add '7z' to each side of the equation. 4x + -7z + 7z = -11y + 7z Combine like terms: -7z + 7z = 0 4x + 0 = -11y + 7z 4x = -11y + 7z Divide each side by '4'. x = -2.75y + 1.75z Simplifying x = -2.75y + 1.75z
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