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Simplifying 0.80x + 0.40(10) = 0.40(100) Multiply 0.40 * 10 0.80x + 4 = 0.40(100) Reorder the terms: 4 + 0.80x = 0.40(100) Multiply 0.40 * 100 4 + 0.80x = 40 Solving 4 + 0.80x = 40 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 + 0.80x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 0.80x = 40 + -4 0.80x = 40 + -4 Combine like terms: 40 + -4 = 36 0.80x = 36 Divide each side by '0.80'. x = 45 Simplifying x = 45
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