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Simplifying 0.40x + -20(50 + x) = 0.04(50) 0.40x + (50 * -20 + x * -20) = 0.04(50) 0.40x + (-1000 + -20x) = 0.04(50) Reorder the terms: -1000 + 0.40x + -20x = 0.04(50) Combine like terms: 0.40x + -20x = -19.6x -1000 + -19.6x = 0.04(50) Multiply 0.04 * 50 -1000 + -19.6x = 2 Solving -1000 + -19.6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + -19.6x = 2 + 1000 Combine like terms: -1000 + 1000 = 0 0 + -19.6x = 2 + 1000 -19.6x = 2 + 1000 Combine like terms: 2 + 1000 = 1002 -19.6x = 1002 Divide each side by '-19.6'. x = -51.12244898 Simplifying x = -51.12244898
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