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Simplifying 0.80x + 0.10(120) = 0.40(96) Multiply 0.10 * 120 0.80x + 12 = 0.40(96) Reorder the terms: 12 + 0.80x = 0.40(96) Multiply 0.40 * 96 12 + 0.80x = 38.4 Solving 12 + 0.80x = 38.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.80x = 38.4 + -12 Combine like terms: 12 + -12 = 0 0 + 0.80x = 38.4 + -12 0.80x = 38.4 + -12 Combine like terms: 38.4 + -12 = 26.4 0.80x = 26.4 Divide each side by '0.80'. x = 33 Simplifying x = 33
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