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Simplifying 13x + 6 = 5x + 2(4x + 3) Reorder the terms: 6 + 13x = 5x + 2(4x + 3) Reorder the terms: 6 + 13x = 5x + 2(3 + 4x) 6 + 13x = 5x + (3 * 2 + 4x * 2) 6 + 13x = 5x + (6 + 8x) Reorder the terms: 6 + 13x = 6 + 5x + 8x Combine like terms: 5x + 8x = 13x 6 + 13x = 6 + 13x Add '-6' to each side of the equation. 6 + -6 + 13x = 6 + -6 + 13x Combine like terms: 6 + -6 = 0 0 + 13x = 6 + -6 + 13x 13x = 6 + -6 + 13x Combine like terms: 6 + -6 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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