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Simplifying 0.2(x + 5) = 0.1(2x + 10) Reorder the terms: 0.2(5 + x) = 0.1(2x + 10) (5 * 0.2 + x * 0.2) = 0.1(2x + 10) (1 + 0.2x) = 0.1(2x + 10) Reorder the terms: 1 + 0.2x = 0.1(10 + 2x) 1 + 0.2x = (10 * 0.1 + 2x * 0.1) 1 + 0.2x = (1 + 0.2x) Add '-1' to each side of the equation. 1 + -1 + 0.2x = 1 + -1 + 0.2x Combine like terms: 1 + -1 = 0 0 + 0.2x = 1 + -1 + 0.2x 0.2x = 1 + -1 + 0.2x Combine like terms: 1 + -1 = 0 0.2x = 0 + 0.2x 0.2x = 0.2x Add '-0.2x' to each side of the equation. 0.2x + -0.2x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.0 = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 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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