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Simplifying 0.50x + -0.30(50 + x) = 0.18(50) 0.50x + (50 * -0.30 + x * -0.30) = 0.18(50) 0.50x + (-15 + -0.30x) = 0.18(50) Reorder the terms: -15 + 0.50x + -0.30x = 0.18(50) Combine like terms: 0.50x + -0.30x = 0.2x -15 + 0.2x = 0.18(50) Multiply 0.18 * 50 -15 + 0.2x = 9 Solving -15 + 0.2x = 9 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 = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 0.2x = 9 + 15 0.2x = 9 + 15 Combine like terms: 9 + 15 = 24 0.2x = 24 Divide each side by '0.2'. x = 120 Simplifying x = 120
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