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Simplifying 0.40x + 0.10(40) = 0.20(74) Multiply 0.10 * 40 0.40x + 4 = 0.20(74) Reorder the terms: 4 + 0.40x = 0.20(74) Multiply 0.20 * 74 4 + 0.40x = 14.8 Solving 4 + 0.40x = 14.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.40x = 14.8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.40x = 14.8 + -4 0.40x = 14.8 + -4 Combine like terms: 14.8 + -4 = 10.8 0.40x = 10.8 Divide each side by '0.40'. x = 27 Simplifying x = 27
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