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Simplifying 2(x + 0.5) = 0.5(4x + 2) Reorder the terms: 2(0.5 + x) = 0.5(4x + 2) (0.5 * 2 + x * 2) = 0.5(4x + 2) (1 + 2x) = 0.5(4x + 2) Reorder the terms: 1 + 2x = 0.5(2 + 4x) 1 + 2x = (2 * 0.5 + 4x * 0.5) 1 + 2x = (1 + 2x) Add '-1' to each side of the equation. 1 + -1 + 2x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 2x = 1 + -1 + 2x 2x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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