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Simplifying 0.8x + -0.3(50 + x) = 0.2(50) 0.8x + (50 * -0.3 + x * -0.3) = 0.2(50) 0.8x + (-15 + -0.3x) = 0.2(50) Reorder the terms: -15 + 0.8x + -0.3x = 0.2(50) Combine like terms: 0.8x + -0.3x = 0.5x -15 + 0.5x = 0.2(50) Multiply 0.2 * 50 -15 + 0.5x = 10 Solving -15 + 0.5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 0.5x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 0.5x = 10 + 15 0.5x = 10 + 15 Combine like terms: 10 + 15 = 25 0.5x = 25 Divide each side by '0.5'. x = 50 Simplifying x = 50
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