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Simplifying 5x + 3 + -2z + -6y = 0 Reorder the terms: 3 + 5x + -6y + -2z = 0 Solving 3 + 5x + -6y + -2z = 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 + -2z = 0 + -3 Reorder the terms: 3 + -3 + 5x + -6y + -2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + -6y + -2z = 0 + -3 5x + -6y + -2z = 0 + -3 Combine like terms: 0 + -3 = -3 5x + -6y + -2z = -3 Add '6y' to each side of the equation. 5x + -6y + 6y + -2z = -3 + 6y Combine like terms: -6y + 6y = 0 5x + 0 + -2z = -3 + 6y 5x + -2z = -3 + 6y Add '2z' to each side of the equation. 5x + -2z + 2z = -3 + 6y + 2z Combine like terms: -2z + 2z = 0 5x + 0 = -3 + 6y + 2z 5x = -3 + 6y + 2z Divide each side by '5'. x = -0.6 + 1.2y + 0.4z Simplifying x = -0.6 + 1.2y + 0.4z
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