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Simplifying 13x + -1(5 + -2x) = 5(3x + -1) 13x + (5 * -1 + -2x * -1) = 5(3x + -1) 13x + (-5 + 2x) = 5(3x + -1) Reorder the terms: -5 + 13x + 2x = 5(3x + -1) Combine like terms: 13x + 2x = 15x -5 + 15x = 5(3x + -1) Reorder the terms: -5 + 15x = 5(-1 + 3x) -5 + 15x = (-1 * 5 + 3x * 5) -5 + 15x = (-5 + 15x) Add '5' to each side of the equation. -5 + 5 + 15x = -5 + 5 + 15x Combine like terms: -5 + 5 = 0 0 + 15x = -5 + 5 + 15x 15x = -5 + 5 + 15x Combine like terms: -5 + 5 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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