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Simplifying -6(2x + 3) + (13x + -5) = 0 Reorder the terms: -6(3 + 2x) + (13x + -5) = 0 (3 * -6 + 2x * -6) + (13x + -5) = 0 (-18 + -12x) + (13x + -5) = 0 Reorder the terms: -18 + -12x + (-5 + 13x) = 0 Remove parenthesis around (-5 + 13x) -18 + -12x + -5 + 13x = 0 Reorder the terms: -18 + -5 + -12x + 13x = 0 Combine like terms: -18 + -5 = -23 -23 + -12x + 13x = 0 Combine like terms: -12x + 13x = 1x -23 + 1x = 0 Solving -23 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 0 + 23 1x = 0 + 23 Combine like terms: 0 + 23 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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