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Simplifying 0.40x + 0.20(30) = 0.20(102) Multiply 0.20 * 30 0.40x + 6 = 0.20(102) Reorder the terms: 6 + 0.40x = 0.20(102) Multiply 0.20 * 102 6 + 0.40x = 20.4 Solving 6 + 0.40x = 20.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.40x = 20.4 + -6 Combine like terms: 6 + -6 = 0 0 + 0.40x = 20.4 + -6 0.40x = 20.4 + -6 Combine like terms: 20.4 + -6 = 14.4 0.40x = 14.4 Divide each side by '0.40'. x = 36 Simplifying x = 36
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