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Simplifying 7x + 3y + 7z + -4x + 5x + -6y = 0 Reorder the terms: 7x + -4x + 5x + 3y + -6y + 7z = 0 Combine like terms: 7x + -4x = 3x 3x + 5x + 3y + -6y + 7z = 0 Combine like terms: 3x + 5x = 8x 8x + 3y + -6y + 7z = 0 Combine like terms: 3y + -6y = -3y 8x + -3y + 7z = 0 Solving 8x + -3y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 8x + -3y + 3y + 7z = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 + 7z = 0 + 3y 8x + 7z = 0 + 3y Remove the zero: 8x + 7z = 3y Add '-7z' to each side of the equation. 8x + 7z + -7z = 3y + -7z Combine like terms: 7z + -7z = 0 8x + 0 = 3y + -7z 8x = 3y + -7z Divide each side by '8'. x = 0.375y + -0.875z Simplifying x = 0.375y + -0.875z
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