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Simplifying 0.4x + 0.4(10 + -1x) = 0.5(10) 0.4x + (10 * 0.4 + -1x * 0.4) = 0.5(10) 0.4x + (4 + -0.4x) = 0.5(10) Reorder the terms: 4 + 0.4x + -0.4x = 0.5(10) Combine like terms: 0.4x + -0.4x = 0.0 4 + 0.0 = 0.5(10) 4 = 0.5(10) Multiply 0.5 * 10 4 = 5 Solving 4 = 5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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