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Simplifying 0.2(3x + 6) = 0.6(x + 2) Reorder the terms: 0.2(6 + 3x) = 0.6(x + 2) (6 * 0.2 + 3x * 0.2) = 0.6(x + 2) (1.2 + 0.6x) = 0.6(x + 2) Reorder the terms: 1.2 + 0.6x = 0.6(2 + x) 1.2 + 0.6x = (2 * 0.6 + x * 0.6) 1.2 + 0.6x = (1.2 + 0.6x) Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.6x = 1.2 + -1.2 + 0.6x Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.6x = 1.2 + -1.2 + 0.6x 0.6x = 1.2 + -1.2 + 0.6x Combine like terms: 1.2 + -1.2 = 0.0 0.6x = 0.0 + 0.6x 0.6x = 0.6x Add '-0.6x' to each side of the equation. 0.6x + -0.6x = 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.0 = 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 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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