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Simplifying 5x + 4y + -5z = 7 Solving 5x + 4y + -5z = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 5x + 4y + -4y + -5z = 7 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + -5z = 7 + -4y 5x + -5z = 7 + -4y Add '5z' to each side of the equation. 5x + -5z + 5z = 7 + -4y + 5z Combine like terms: -5z + 5z = 0 5x + 0 = 7 + -4y + 5z 5x = 7 + -4y + 5z Divide each side by '5'. x = 1.4 + -0.8y + z Simplifying x = 1.4 + -0.8y + z
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