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Simplifying 5x + -2y + -4z = 10 Solving 5x + -2y + -4z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + -4z = 10 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + -4z = 10 + 2y 5x + -4z = 10 + 2y Add '4z' to each side of the equation. 5x + -4z + 4z = 10 + 2y + 4z Combine like terms: -4z + 4z = 0 5x + 0 = 10 + 2y + 4z 5x = 10 + 2y + 4z Divide each side by '5'. x = 2 + 0.4y + 0.8z Simplifying x = 2 + 0.4y + 0.8z
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