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Simplifying -13(x + -6) + 7x = 6(13 + -1x) Reorder the terms: -13(-6 + x) + 7x = 6(13 + -1x) (-6 * -13 + x * -13) + 7x = 6(13 + -1x) (78 + -13x) + 7x = 6(13 + -1x) Combine like terms: -13x + 7x = -6x 78 + -6x = 6(13 + -1x) 78 + -6x = (13 * 6 + -1x * 6) 78 + -6x = (78 + -6x) Add '-78' to each side of the equation. 78 + -78 + -6x = 78 + -78 + -6x Combine like terms: 78 + -78 = 0 0 + -6x = 78 + -78 + -6x -6x = 78 + -78 + -6x Combine like terms: 78 + -78 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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