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Simplifying 0.1(5x + 20) = 0.25(2x + 8) Reorder the terms: 0.1(20 + 5x) = 0.25(2x + 8) (20 * 0.1 + 5x * 0.1) = 0.25(2x + 8) (2 + 0.5x) = 0.25(2x + 8) Reorder the terms: 2 + 0.5x = 0.25(8 + 2x) 2 + 0.5x = (8 * 0.25 + 2x * 0.25) 2 + 0.5x = (2 + 0.5x) Add '-2' to each side of the equation. 2 + -2 + 0.5x = 2 + -2 + 0.5x Combine like terms: 2 + -2 = 0 0 + 0.5x = 2 + -2 + 0.5x 0.5x = 2 + -2 + 0.5x Combine like terms: 2 + -2 = 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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