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Simplifying 2(2x + 1) + -1 = 0.5(2x + 4) + 3x + -1 Reorder the terms: 2(1 + 2x) + -1 = 0.5(2x + 4) + 3x + -1 (1 * 2 + 2x * 2) + -1 = 0.5(2x + 4) + 3x + -1 (2 + 4x) + -1 = 0.5(2x + 4) + 3x + -1 Reorder the terms: 2 + -1 + 4x = 0.5(2x + 4) + 3x + -1 Combine like terms: 2 + -1 = 1 1 + 4x = 0.5(2x + 4) + 3x + -1 Reorder the terms: 1 + 4x = 0.5(4 + 2x) + 3x + -1 1 + 4x = (4 * 0.5 + 2x * 0.5) + 3x + -1 1 + 4x = (2 + 1x) + 3x + -1 Reorder the terms: 1 + 4x = 2 + -1 + 1x + 3x Combine like terms: 2 + -1 = 1 1 + 4x = 1 + 1x + 3x Combine like terms: 1x + 3x = 4x 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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