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Simplifying 2(2x + 1) = 7x + 1 + -3x + 1 Reorder the terms: 2(1 + 2x) = 7x + 1 + -3x + 1 (1 * 2 + 2x * 2) = 7x + 1 + -3x + 1 (2 + 4x) = 7x + 1 + -3x + 1 Reorder the terms: 2 + 4x = 1 + 1 + 7x + -3x Combine like terms: 1 + 1 = 2 2 + 4x = 2 + 7x + -3x Combine like terms: 7x + -3x = 4x 2 + 4x = 2 + 4x Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + 4x 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 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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