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Simplifying 4x + 6y + 0.2z = 150 Solving 4x + 6y + 0.2z = 150 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 + 0.2z = 150 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 0.2z = 150 + -6y 4x + 0.2z = 150 + -6y Add '-0.2z' to each side of the equation. 4x + 0.2z + -0.2z = 150 + -6y + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 4x + 0.0 = 150 + -6y + -0.2z 4x = 150 + -6y + -0.2z Divide each side by '4'. x = 37.5 + -1.5y + -0.05z Simplifying x = 37.5 + -1.5y + -0.05z
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