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Simplifying 5x + -6y + 8z + -3 = 0 Reorder the terms: -3 + 5x + -6y + 8z = 0 Solving -3 + 5x + -6y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + -6y + 3 + 8z = 0 + 3 Reorder the terms: -3 + 3 + 5x + -6y + 8z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + -6y + 8z = 0 + 3 5x + -6y + 8z = 0 + 3 Combine like terms: 0 + 3 = 3 5x + -6y + 8z = 3 Add '6y' to each side of the equation. 5x + -6y + 6y + 8z = 3 + 6y Combine like terms: -6y + 6y = 0 5x + 0 + 8z = 3 + 6y 5x + 8z = 3 + 6y Add '-8z' to each side of the equation. 5x + 8z + -8z = 3 + 6y + -8z Combine like terms: 8z + -8z = 0 5x + 0 = 3 + 6y + -8z 5x = 3 + 6y + -8z Divide each side by '5'. x = 0.6 + 1.2y + -1.6z Simplifying x = 0.6 + 1.2y + -1.6z
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