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Simplifying 13(5 + -1x) + -1(5 + -1x) + -12(5 + -1x) = 0 (5 * 13 + -1x * 13) + -1(5 + -1x) + -12(5 + -1x) = 0 (65 + -13x) + -1(5 + -1x) + -12(5 + -1x) = 0 65 + -13x + (5 * -1 + -1x * -1) + -12(5 + -1x) = 0 65 + -13x + (-5 + 1x) + -12(5 + -1x) = 0 65 + -13x + -5 + 1x + (5 * -12 + -1x * -12) = 0 65 + -13x + -5 + 1x + (-60 + 12x) = 0 Reorder the terms: 65 + -5 + -60 + -13x + 1x + 12x = 0 Combine like terms: 65 + -5 = 60 60 + -60 + -13x + 1x + 12x = 0 Combine like terms: 60 + -60 = 0 0 + -13x + 1x + 12x = 0 -13x + 1x + 12x = 0 Combine like terms: -13x + 1x = -12x -12x + 12x = 0 Combine like terms: -12x + 12x = 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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