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Simplifying 4x + 3y + -5z = 0 Solving 4x + 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. 4x + 3y + -3y + -5z = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 + -5z = 0 + -3y 4x + -5z = 0 + -3y Remove the zero: 4x + -5z = -3y Add '5z' to each side of the equation. 4x + -5z + 5z = -3y + 5z Combine like terms: -5z + 5z = 0 4x + 0 = -3y + 5z 4x = -3y + 5z Divide each side by '4'. x = -0.75y + 1.25z Simplifying x = -0.75y + 1.25z
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