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Simplifying 0.80x + 0.55(80) = 0.40(102) Multiply 0.55 * 80 0.80x + 44 = 0.40(102) Reorder the terms: 44 + 0.80x = 0.40(102) Multiply 0.40 * 102 44 + 0.80x = 40.8 Solving 44 + 0.80x = 40.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 0.80x = 40.8 + -44 Combine like terms: 44 + -44 = 0 0 + 0.80x = 40.8 + -44 0.80x = 40.8 + -44 Combine like terms: 40.8 + -44 = -3.2 0.80x = -3.2 Divide each side by '0.80'. x = -4 Simplifying x = -4
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