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Simplifying 3x + 5y + 4z = 100 Solving 3x + 5y + 4z = 100 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 + 4z = 100 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 4z = 100 + -5y 3x + 4z = 100 + -5y Add '-4z' to each side of the equation. 3x + 4z + -4z = 100 + -5y + -4z Combine like terms: 4z + -4z = 0 3x + 0 = 100 + -5y + -4z 3x = 100 + -5y + -4z Divide each side by '3'. x = 33.33333333 + -1.666666667y + -1.333333333z Simplifying x = 33.33333333 + -1.666666667y + -1.333333333z
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