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Simplifying (6x2 + 13x + -5) + -1(6x2 + -23x + 7) = 0 Reorder the terms: (-5 + 13x + 6x2) + -1(6x2 + -23x + 7) = 0 Remove parenthesis around (-5 + 13x + 6x2) -5 + 13x + 6x2 + -1(6x2 + -23x + 7) = 0 Reorder the terms: -5 + 13x + 6x2 + -1(7 + -23x + 6x2) = 0 -5 + 13x + 6x2 + (7 * -1 + -23x * -1 + 6x2 * -1) = 0 -5 + 13x + 6x2 + (-7 + 23x + -6x2) = 0 Reorder the terms: -5 + -7 + 13x + 23x + 6x2 + -6x2 = 0 Combine like terms: -5 + -7 = -12 -12 + 13x + 23x + 6x2 + -6x2 = 0 Combine like terms: 13x + 23x = 36x -12 + 36x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 -12 + 36x + 0 = 0 -12 + 36x = 0 Solving -12 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 36x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 36x = 0 + 12 36x = 0 + 12 Combine like terms: 0 + 12 = 12 36x = 12 Divide each side by '36'. x = 0.3333333333 Simplifying x = 0.3333333333
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