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Simplifying 0.40x + 0.30(100) = 0.20(52) Multiply 0.30 * 100 0.40x + 30 = 0.20(52) Reorder the terms: 30 + 0.40x = 0.20(52) Multiply 0.20 * 52 30 + 0.40x = 10.4 Solving 30 + 0.40x = 10.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.40x = 10.4 + -30 Combine like terms: 30 + -30 = 0 0 + 0.40x = 10.4 + -30 0.40x = 10.4 + -30 Combine like terms: 10.4 + -30 = -19.6 0.40x = -19.6 Divide each side by '0.40'. x = -49 Simplifying x = -49
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