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Simplifying 0.08x + -0.40(40 + x) = 0.20(40) 0.08x + (40 * -0.40 + x * -0.40) = 0.20(40) 0.08x + (-16 + -0.40x) = 0.20(40) Reorder the terms: -16 + 0.08x + -0.40x = 0.20(40) Combine like terms: 0.08x + -0.40x = -0.32x -16 + -0.32x = 0.20(40) Multiply 0.20 * 40 -16 + -0.32x = 8 Solving -16 + -0.32x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -0.32x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -0.32x = 8 + 16 -0.32x = 8 + 16 Combine like terms: 8 + 16 = 24 -0.32x = 24 Divide each side by '-0.32'. x = -75 Simplifying x = -75
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