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Simplifying 0.40x + -0.20(50 + -1x) = 0.04(50) 0.40x + (50 * -0.20 + -1x * -0.20) = 0.04(50) 0.40x + (-10 + 0.2x) = 0.04(50) Reorder the terms: -10 + 0.40x + 0.2x = 0.04(50) Combine like terms: 0.40x + 0.2x = 0.6x -10 + 0.6x = 0.04(50) Multiply 0.04 * 50 -10 + 0.6x = 2 Solving -10 + 0.6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 0.6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 0.6x = 2 + 10 0.6x = 2 + 10 Combine like terms: 2 + 10 = 12 0.6x = 12 Divide each side by '0.6'. x = 20 Simplifying x = 20
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