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Simplifying 5x + 10y + -12z = 0 Solving 5x + 10y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 5x + 10y + -10y + -12z = 0 + -10y Combine like terms: 10y + -10y = 0 5x + 0 + -12z = 0 + -10y 5x + -12z = 0 + -10y Remove the zero: 5x + -12z = -10y Add '12z' to each side of the equation. 5x + -12z + 12z = -10y + 12z Combine like terms: -12z + 12z = 0 5x + 0 = -10y + 12z 5x = -10y + 12z Divide each side by '5'. x = -2y + 2.4z Simplifying x = -2y + 2.4z
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