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Simplifying 3x + 2y + 0.1z = 100 Solving 3x + 2y + 0.1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y + 0.1z = 100 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + 0.1z = 100 + -2y 3x + 0.1z = 100 + -2y Add '-0.1z' to each side of the equation. 3x + 0.1z + -0.1z = 100 + -2y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 3x + 0.0 = 100 + -2y + -0.1z 3x = 100 + -2y + -0.1z Divide each side by '3'. x = 33.33333333 + -0.6666666667y + -0.03333333333z Simplifying x = 33.33333333 + -0.6666666667y + -0.03333333333z
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