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Simplifying 0.5(x + 2) = 0.25(2x + 4) Reorder the terms: 0.5(2 + x) = 0.25(2x + 4) (2 * 0.5 + x * 0.5) = 0.25(2x + 4) (1 + 0.5x) = 0.25(2x + 4) Reorder the terms: 1 + 0.5x = 0.25(4 + 2x) 1 + 0.5x = (4 * 0.25 + 2x * 0.25) 1 + 0.5x = (1 + 0.5x) Add '-1' to each side of the equation. 1 + -1 + 0.5x = 1 + -1 + 0.5x Combine like terms: 1 + -1 = 0 0 + 0.5x = 1 + -1 + 0.5x 0.5x = 1 + -1 + 0.5x Combine like terms: 1 + -1 = 0 0.5x = 0 + 0.5x 0.5x = 0.5x Add '-0.5x' to each side of the equation. 0.5x + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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