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Simplifying 13x + -1 = 2(5x + 2) + 3x + -5 Reorder the terms: -1 + 13x = 2(5x + 2) + 3x + -5 Reorder the terms: -1 + 13x = 2(2 + 5x) + 3x + -5 -1 + 13x = (2 * 2 + 5x * 2) + 3x + -5 -1 + 13x = (4 + 10x) + 3x + -5 Reorder the terms: -1 + 13x = 4 + -5 + 10x + 3x Combine like terms: 4 + -5 = -1 -1 + 13x = -1 + 10x + 3x Combine like terms: 10x + 3x = 13x -1 + 13x = -1 + 13x Add '1' to each side of the equation. -1 + 1 + 13x = -1 + 1 + 13x Combine like terms: -1 + 1 = 0 0 + 13x = -1 + 1 + 13x 13x = -1 + 1 + 13x Combine like terms: -1 + 1 = 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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