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Simplifying 0.50x + -0.20(40 + x) = 0.05(40) 0.50x + (40 * -0.20 + x * -0.20) = 0.05(40) 0.50x + (-8 + -0.20x) = 0.05(40) Reorder the terms: -8 + 0.50x + -0.20x = 0.05(40) Combine like terms: 0.50x + -0.20x = 0.3x -8 + 0.3x = 0.05(40) Multiply 0.05 * 40 -8 + 0.3x = 2 Solving -8 + 0.3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 0.3x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 0.3x = 2 + 8 0.3x = 2 + 8 Combine like terms: 2 + 8 = 10 0.3x = 10 Divide each side by '0.3'. x = 33.33333333 Simplifying x = 33.33333333
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