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Simplifying 4x + 1 = 2(2x + 0.5) Reorder the terms: 1 + 4x = 2(2x + 0.5) Reorder the terms: 1 + 4x = 2(0.5 + 2x) 1 + 4x = (0.5 * 2 + 2x * 2) 1 + 4x = (1 + 4x) Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + 4x 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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