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Simplifying 0.50 + -0.20(40 + x) = -0.05(40) 0.50 + (40 * -0.20 + x * -0.20) = -0.05(40) 0.50 + (-8 + -0.20x) = -0.05(40) Combine like terms: 0.50 + -8 = -7.5 -7.5 + -0.20x = -0.05(40) Multiply -0.05 * 40 -7.5 + -0.20x = -2 Solving -7.5 + -0.20x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + -0.20x = -2 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -0.20x = -2 + 7.5 -0.20x = -2 + 7.5 Combine like terms: -2 + 7.5 = 5.5 -0.20x = 5.5 Divide each side by '-0.20'. x = -27.5 Simplifying x = -27.5
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