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Simplifying 12x + (13x + -19) + -1(11x + -5) = 25 + -1(17 + -13x) Reorder the terms: 12x + (-19 + 13x) + -1(11x + -5) = 25 + -1(17 + -13x) Remove parenthesis around (-19 + 13x) 12x + -19 + 13x + -1(11x + -5) = 25 + -1(17 + -13x) Reorder the terms: 12x + -19 + 13x + -1(-5 + 11x) = 25 + -1(17 + -13x) 12x + -19 + 13x + (-5 * -1 + 11x * -1) = 25 + -1(17 + -13x) 12x + -19 + 13x + (5 + -11x) = 25 + -1(17 + -13x) Reorder the terms: -19 + 5 + 12x + 13x + -11x = 25 + -1(17 + -13x) Combine like terms: -19 + 5 = -14 -14 + 12x + 13x + -11x = 25 + -1(17 + -13x) Combine like terms: 12x + 13x = 25x -14 + 25x + -11x = 25 + -1(17 + -13x) Combine like terms: 25x + -11x = 14x -14 + 14x = 25 + -1(17 + -13x) -14 + 14x = 25 + (17 * -1 + -13x * -1) -14 + 14x = 25 + (-17 + 13x) Combine like terms: 25 + -17 = 8 -14 + 14x = 8 + 13x Solving -14 + 14x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -14 + 14x + -13x = 8 + 13x + -13x Combine like terms: 14x + -13x = 1x -14 + 1x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -14 + 1x = 8 + 0 -14 + 1x = 8 Add '14' to each side of the equation. -14 + 14 + 1x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 8 + 14 1x = 8 + 14 Combine like terms: 8 + 14 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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