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Simplifying 0.40x + 0.10(150) = 0.20(117) Multiply 0.10 * 150 0.40x + 15 = 0.20(117) Reorder the terms: 15 + 0.40x = 0.20(117) Multiply 0.20 * 117 15 + 0.40x = 23.4 Solving 15 + 0.40x = 23.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.40x = 23.4 + -15 Combine like terms: 15 + -15 = 0 0 + 0.40x = 23.4 + -15 0.40x = 23.4 + -15 Combine like terms: 23.4 + -15 = 8.4 0.40x = 8.4 Divide each side by '0.40'. x = 21 Simplifying x = 21
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