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Simplifying 5x + 3y + 1z = 100 Solving 5x + 3y + 1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y + 1z = 100 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + 1z = 100 + -3y 5x + 1z = 100 + -3y Add '-1z' to each side of the equation. 5x + 1z + -1z = 100 + -3y + -1z Combine like terms: 1z + -1z = 0 5x + 0 = 100 + -3y + -1z 5x = 100 + -3y + -1z Divide each side by '5'. x = 20 + -0.6y + -0.2z Simplifying x = 20 + -0.6y + -0.2z
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