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Simplifying 3x + 2y + -7z + 4x + -3y = 0 Reorder the terms: 3x + 4x + 2y + -3y + -7z = 0 Combine like terms: 3x + 4x = 7x 7x + 2y + -3y + -7z = 0 Combine like terms: 2y + -3y = -1y 7x + -1y + -7z = 0 Solving 7x + -1y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y + -7z = 0 + y Combine like terms: -1y + y = 0 7x + 0 + -7z = 0 + y 7x + -7z = 0 + y Remove the zero: 7x + -7z = y Add '7z' to each side of the equation. 7x + -7z + 7z = y + 7z Combine like terms: -7z + 7z = 0 7x + 0 = y + 7z 7x = y + 7z Divide each side by '7'. x = 0.1428571429y + z Simplifying x = 0.1428571429y + z
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