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Simplifying 5x + 4y + 7z + -2z + 3x + -7y = 0 Reorder the terms: 5x + 3x + 4y + -7y + 7z + -2z = 0 Combine like terms: 5x + 3x = 8x 8x + 4y + -7y + 7z + -2z = 0 Combine like terms: 4y + -7y = -3y 8x + -3y + 7z + -2z = 0 Combine like terms: 7z + -2z = 5z 8x + -3y + 5z = 0 Solving 8x + -3y + 5z = 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 + 5z = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 + 5z = 0 + 3y 8x + 5z = 0 + 3y Remove the zero: 8x + 5z = 3y Add '-5z' to each side of the equation. 8x + 5z + -5z = 3y + -5z Combine like terms: 5z + -5z = 0 8x + 0 = 3y + -5z 8x = 3y + -5z Divide each side by '8'. x = 0.375y + -0.625z Simplifying x = 0.375y + -0.625z
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