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Simplifying 3x + 5y + 7z = 2400 Solving 3x + 5y + 7z = 2400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y + 7z = 2400 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 7z = 2400 + -5y 3x + 7z = 2400 + -5y Add '-7z' to each side of the equation. 3x + 7z + -7z = 2400 + -5y + -7z Combine like terms: 7z + -7z = 0 3x + 0 = 2400 + -5y + -7z 3x = 2400 + -5y + -7z Divide each side by '3'. x = 800 + -1.666666667y + -2.333333333z Simplifying x = 800 + -1.666666667y + -2.333333333z
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