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Simplifying 0.5(x + 3) = 0.25(2x + 6) Reorder the terms: 0.5(3 + x) = 0.25(2x + 6) (3 * 0.5 + x * 0.5) = 0.25(2x + 6) (1.5 + 0.5x) = 0.25(2x + 6) Reorder the terms: 1.5 + 0.5x = 0.25(6 + 2x) 1.5 + 0.5x = (6 * 0.25 + 2x * 0.25) 1.5 + 0.5x = (1.5 + 0.5x) Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 1.5 + -1.5 + 0.5x Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 1.5 + -1.5 + 0.5x 0.5x = 1.5 + -1.5 + 0.5x Combine like terms: 1.5 + -1.5 = 0.0 0.5x = 0.0 + 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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