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Simplifying 24x + 12y + 48z = 0 Solving 24x + 12y + 48z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 24x + 12y + -12y + 48z = 0 + -12y Combine like terms: 12y + -12y = 0 24x + 0 + 48z = 0 + -12y 24x + 48z = 0 + -12y Remove the zero: 24x + 48z = -12y Add '-48z' to each side of the equation. 24x + 48z + -48z = -12y + -48z Combine like terms: 48z + -48z = 0 24x + 0 = -12y + -48z 24x = -12y + -48z Divide each side by '24'. x = -0.5y + -2z Simplifying x = -0.5y + -2z
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