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Simplifying 0.5k(4x + -2) = 0.2(10 + -5x) + 3 Reorder the terms: 0.5k(-2 + 4x) = 0.2(10 + -5x) + 3 (-2 * 0.5k + 4x * 0.5k) = 0.2(10 + -5x) + 3 (-1k + 2kx) = 0.2(10 + -5x) + 3 -1k + 2kx = (10 * 0.2 + -5x * 0.2) + 3 -1k + 2kx = (2 + -1x) + 3 Reorder the terms: -1k + 2kx = 2 + 3 + -1x Combine like terms: 2 + 3 = 5 -1k + 2kx = 5 + -1x Solving -1k + 2kx = 5 + -1x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Reorder the terms: -5 + -1k + 2kx + x = 5 + -1x + -5 + x Reorder the terms: -5 + -1k + 2kx + x = 5 + -5 + -1x + x Combine like terms: 5 + -5 = 0 -5 + -1k + 2kx + x = 0 + -1x + x -5 + -1k + 2kx + x = -1x + x Combine like terms: -1x + x = 0 -5 + -1k + 2kx + x = 0 The solution to this equation could not be determined.
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