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Simplifying 0.2(2x + 12) = 0.4(x + 6) Reorder the terms: 0.2(12 + 2x) = 0.4(x + 6) (12 * 0.2 + 2x * 0.2) = 0.4(x + 6) (2.4 + 0.4x) = 0.4(x + 6) Reorder the terms: 2.4 + 0.4x = 0.4(6 + x) 2.4 + 0.4x = (6 * 0.4 + x * 0.4) 2.4 + 0.4x = (2.4 + 0.4x) Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.4x = 2.4 + -2.4 + 0.4x Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.4x = 2.4 + -2.4 + 0.4x 0.4x = 2.4 + -2.4 + 0.4x Combine like terms: 2.4 + -2.4 = 0.0 0.4x = 0.0 + 0.4x 0.4x = 0.4x Add '-0.4x' to each side of the equation. 0.4x + -0.4x = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.0 = 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 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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