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Simplifying 0.5x + -0.3(50 + x) = 0.5(50) 0.5x + (50 * -0.3 + x * -0.3) = 0.5(50) 0.5x + (-15 + -0.3x) = 0.5(50) Reorder the terms: -15 + 0.5x + -0.3x = 0.5(50) Combine like terms: 0.5x + -0.3x = 0.2x -15 + 0.2x = 0.5(50) Multiply 0.5 * 50 -15 + 0.2x = 25 Solving -15 + 0.2x = 25 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 + 0.2x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 0.2x = 25 + 15 0.2x = 25 + 15 Combine like terms: 25 + 15 = 40 0.2x = 40 Divide each side by '0.2'. x = 200 Simplifying x = 200
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