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Simplifying 4x + 1 = 2(2x + 1) + -1 Reorder the terms: 1 + 4x = 2(2x + 1) + -1 Reorder the terms: 1 + 4x = 2(1 + 2x) + -1 1 + 4x = (1 * 2 + 2x * 2) + -1 1 + 4x = (2 + 4x) + -1 Reorder the terms: 1 + 4x = 2 + -1 + 4x Combine like terms: 2 + -1 = 1 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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