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Simplifying 4x + 5y + 7z = 10 Solving 4x + 5y + 7z = 10 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. 4x + 5y + -5y + 7z = 10 + -5y Combine like terms: 5y + -5y = 0 4x + 0 + 7z = 10 + -5y 4x + 7z = 10 + -5y Add '-7z' to each side of the equation. 4x + 7z + -7z = 10 + -5y + -7z Combine like terms: 7z + -7z = 0 4x + 0 = 10 + -5y + -7z 4x = 10 + -5y + -7z Divide each side by '4'. x = 2.5 + -1.25y + -1.75z Simplifying x = 2.5 + -1.25y + -1.75z
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