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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 = -0.7x -8 + -0.7x = -0.05(40) Multiply -0.05 * 40 -8 + -0.7x = -2 Solving -8 + -0.7x = -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 + -0.7x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -0.7x = -2 + 8 -0.7x = -2 + 8 Combine like terms: -2 + 8 = 6 -0.7x = 6 Divide each side by '-0.7'. x = -8.571428571 Simplifying x = -8.571428571
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