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Simplifying 0.80x + -0.70(50 + x) = 0.60(50) 0.80x + (50 * -0.70 + x * -0.70) = 0.60(50) 0.80x + (-35 + -0.70x) = 0.60(50) Reorder the terms: -35 + 0.80x + -0.70x = 0.60(50) Combine like terms: 0.80x + -0.70x = 0.1x -35 + 0.1x = 0.60(50) Multiply 0.60 * 50 -35 + 0.1x = 30 Solving -35 + 0.1x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 0.1x = 30 + 35 Combine like terms: -35 + 35 = 0 0 + 0.1x = 30 + 35 0.1x = 30 + 35 Combine like terms: 30 + 35 = 65 0.1x = 65 Divide each side by '0.1'. x = 650 Simplifying x = 650
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