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Simplifying 5x + 3y + -5z = -50 Solving 5x + 3y + -5z = -50 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 + -5z = -50 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + -5z = -50 + -3y 5x + -5z = -50 + -3y Add '5z' to each side of the equation. 5x + -5z + 5z = -50 + -3y + 5z Combine like terms: -5z + 5z = 0 5x + 0 = -50 + -3y + 5z 5x = -50 + -3y + 5z Divide each side by '5'. x = -10 + -0.6y + z Simplifying x = -10 + -0.6y + z
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