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Simplifying 5x + 4y + -1z = 35 Solving 5x + 4y + -1z = 35 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 + -1z = 35 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + -1z = 35 + -4y 5x + -1z = 35 + -4y Add 'z' to each side of the equation. 5x + -1z + z = 35 + -4y + z Combine like terms: -1z + z = 0 5x + 0 = 35 + -4y + z 5x = 35 + -4y + z Divide each side by '5'. x = 7 + -0.8y + 0.2z Simplifying x = 7 + -0.8y + 0.2z
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