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Simplifying 5x + 5y + 2z = 100 Solving 5x + 5y + 2z = 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. 5x + 5y + -5y + 2z = 100 + -5y Combine like terms: 5y + -5y = 0 5x + 0 + 2z = 100 + -5y 5x + 2z = 100 + -5y Add '-2z' to each side of the equation. 5x + 2z + -2z = 100 + -5y + -2z Combine like terms: 2z + -2z = 0 5x + 0 = 100 + -5y + -2z 5x = 100 + -5y + -2z Divide each side by '5'. x = 20 + -1y + -0.4z Simplifying x = 20 + -1y + -0.4z
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