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Simplifying 0.5(x + 4) = 0.5x + 1 Reorder the terms: 0.5(4 + x) = 0.5x + 1 (4 * 0.5 + x * 0.5) = 0.5x + 1 (2 + 0.5x) = 0.5x + 1 Reorder the terms: 2 + 0.5x = 1 + 0.5x Add '-0.5x' to each side of the equation. 2 + 0.5x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 0.0 = 1 + 0.5x + -0.5x 2 = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 = 1 + 0.0 2 = 1 Solving 2 = 1 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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