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Simplifying 0.80x + -0.60(50 + x) = 0.48(50) 0.80x + (50 * -0.60 + x * -0.60) = 0.48(50) 0.80x + (-30 + -0.60x) = 0.48(50) Reorder the terms: -30 + 0.80x + -0.60x = 0.48(50) Combine like terms: 0.80x + -0.60x = 0.2x -30 + 0.2x = 0.48(50) Multiply 0.48 * 50 -30 + 0.2x = 24 Solving -30 + 0.2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 0.2x = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 0.2x = 24 + 30 0.2x = 24 + 30 Combine like terms: 24 + 30 = 54 0.2x = 54 Divide each side by '0.2'. x = 270 Simplifying x = 270
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