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Simplifying 0.80x + 0.35(120) = 0.40(45) Multiply 0.35 * 120 0.80x + 42 = 0.40(45) Reorder the terms: 42 + 0.80x = 0.40(45) Multiply 0.40 * 45 42 + 0.80x = 18 Solving 42 + 0.80x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 0.80x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 0.80x = 18 + -42 0.80x = 18 + -42 Combine like terms: 18 + -42 = -24 0.80x = -24 Divide each side by '0.80'. x = -30 Simplifying x = -30
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