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Simplifying 0.5(10x + 1) + -1(5x + -1) = 61 Reorder the terms: 0.5(1 + 10x) + -1(5x + -1) = 61 (1 * 0.5 + 10x * 0.5) + -1(5x + -1) = 61 (0.5 + 5x) + -1(5x + -1) = 61 Reorder the terms: 0.5 + 5x + -1(-1 + 5x) = 61 0.5 + 5x + (-1 * -1 + 5x * -1) = 61 0.5 + 5x + (1 + -5x) = 61 Reorder the terms: 0.5 + 1 + 5x + -5x = 61 Combine like terms: 0.5 + 1 = 1.5 1.5 + 5x + -5x = 61 Combine like terms: 5x + -5x = 0 1.5 + 0 = 61 1.5 = 61 Solving 1.5 = 61 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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