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Simplifying 4x + 3y + 4z + -2x + 3z + -5y = 0 Reorder the terms: 4x + -2x + 3y + -5y + 4z + 3z = 0 Combine like terms: 4x + -2x = 2x 2x + 3y + -5y + 4z + 3z = 0 Combine like terms: 3y + -5y = -2y 2x + -2y + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 2x + -2y + 7z = 0 Solving 2x + -2y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2y + 2y + 7z = 0 + 2y Combine like terms: -2y + 2y = 0 2x + 0 + 7z = 0 + 2y 2x + 7z = 0 + 2y Remove the zero: 2x + 7z = 2y Add '-7z' to each side of the equation. 2x + 7z + -7z = 2y + -7z Combine like terms: 7z + -7z = 0 2x + 0 = 2y + -7z 2x = 2y + -7z Divide each side by '2'. x = y + -3.5z Simplifying x = y + -3.5z
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