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Simplifying 0.20x + -0.08(X + -10) = 24.8 Reorder the terms: 0.20x + -0.08(-10 + X) = 24.8 0.20x + (-10 * -0.08 + X * -0.08) = 24.8 0.20x + (0.8 + -0.08X) = 24.8 Reorder the terms: 0.8 + -0.08X + 0.20x = 24.8 Solving 0.8 + -0.08X + 0.20x = 24.8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.08X + -0.8 + 0.20x = 24.8 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.08X + 0.20x = 24.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.08X + 0.20x = 24.8 + -0.8 -0.08X + 0.20x = 24.8 + -0.8 Combine like terms: 24.8 + -0.8 = 24 -0.08X + 0.20x = 24 Add '-0.20x' to each side of the equation. -0.08X + 0.20x + -0.20x = 24 + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -0.08X + 0.00 = 24 + -0.20x -0.08X = 24 + -0.20x Divide each side by '-0.08'. X = -300 + 2.5x Simplifying X = -300 + 2.5x
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