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Simplifying 14x + -21y + 7z = 0 Solving 14x + -21y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 14x + -21y + 21y + 7z = 0 + 21y Combine like terms: -21y + 21y = 0 14x + 0 + 7z = 0 + 21y 14x + 7z = 0 + 21y Remove the zero: 14x + 7z = 21y Add '-7z' to each side of the equation. 14x + 7z + -7z = 21y + -7z Combine like terms: 7z + -7z = 0 14x + 0 = 21y + -7z 14x = 21y + -7z Divide each side by '14'. x = 1.5y + -0.5z Simplifying x = 1.5y + -0.5z
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