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Simplifying 4x + -5y + 3z = 0 Solving 4x + -5y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + -5y + 5y + 3z = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 0 + 3z = 0 + 5y 4x + 3z = 0 + 5y Remove the zero: 4x + 3z = 5y Add '-3z' to each side of the equation. 4x + 3z + -3z = 5y + -3z Combine like terms: 3z + -3z = 0 4x + 0 = 5y + -3z 4x = 5y + -3z Divide each side by '4'. x = 1.25y + -0.75z Simplifying x = 1.25y + -0.75z
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