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Simplifying 5x + -3(6x + 1) = -1(13x + 3) Reorder the terms: 5x + -3(1 + 6x) = -1(13x + 3) 5x + (1 * -3 + 6x * -3) = -1(13x + 3) 5x + (-3 + -18x) = -1(13x + 3) Reorder the terms: -3 + 5x + -18x = -1(13x + 3) Combine like terms: 5x + -18x = -13x -3 + -13x = -1(13x + 3) Reorder the terms: -3 + -13x = -1(3 + 13x) -3 + -13x = (3 * -1 + 13x * -1) -3 + -13x = (-3 + -13x) Add '3' to each side of the equation. -3 + 3 + -13x = -3 + 3 + -13x Combine like terms: -3 + 3 = 0 0 + -13x = -3 + 3 + -13x -13x = -3 + 3 + -13x Combine like terms: -3 + 3 = 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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