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Simplifying 5x + 6y + -3z = 1 Solving 5x + 6y + -3z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 5x + 6y + -6y + -3z = 1 + -6y Combine like terms: 6y + -6y = 0 5x + 0 + -3z = 1 + -6y 5x + -3z = 1 + -6y Add '3z' to each side of the equation. 5x + -3z + 3z = 1 + -6y + 3z Combine like terms: -3z + 3z = 0 5x + 0 = 1 + -6y + 3z 5x = 1 + -6y + 3z Divide each side by '5'. x = 0.2 + -1.2y + 0.6z Simplifying x = 0.2 + -1.2y + 0.6z
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