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Simplifying 4x + 6y + 2z = 100 Solving 4x + 6y + 2z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y + 2z = 100 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 2z = 100 + -6y 4x + 2z = 100 + -6y Add '-2z' to each side of the equation. 4x + 2z + -2z = 100 + -6y + -2z Combine like terms: 2z + -2z = 0 4x + 0 = 100 + -6y + -2z 4x = 100 + -6y + -2z Divide each side by '4'. x = 25 + -1.5y + -0.5z Simplifying x = 25 + -1.5y + -0.5z
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