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Simplifying 5x + 3y + -6z = 16 Solving 5x + 3y + -6z = 16 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. 5x + 3y + -3y + -6z = 16 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + -6z = 16 + -3y 5x + -6z = 16 + -3y Add '6z' to each side of the equation. 5x + -6z + 6z = 16 + -3y + 6z Combine like terms: -6z + 6z = 0 5x + 0 = 16 + -3y + 6z 5x = 16 + -3y + 6z Divide each side by '5'. x = 3.2 + -0.6y + 1.2z Simplifying x = 3.2 + -0.6y + 1.2z
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