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Simplifying 14x + (11x + -19) + -1(13x + -15) = 25 + -1(17 + -15x) Reorder the terms: 14x + (-19 + 11x) + -1(13x + -15) = 25 + -1(17 + -15x) Remove parenthesis around (-19 + 11x) 14x + -19 + 11x + -1(13x + -15) = 25 + -1(17 + -15x) Reorder the terms: 14x + -19 + 11x + -1(-15 + 13x) = 25 + -1(17 + -15x) 14x + -19 + 11x + (-15 * -1 + 13x * -1) = 25 + -1(17 + -15x) 14x + -19 + 11x + (15 + -13x) = 25 + -1(17 + -15x) Reorder the terms: -19 + 15 + 14x + 11x + -13x = 25 + -1(17 + -15x) Combine like terms: -19 + 15 = -4 -4 + 14x + 11x + -13x = 25 + -1(17 + -15x) Combine like terms: 14x + 11x = 25x -4 + 25x + -13x = 25 + -1(17 + -15x) Combine like terms: 25x + -13x = 12x -4 + 12x = 25 + -1(17 + -15x) -4 + 12x = 25 + (17 * -1 + -15x * -1) -4 + 12x = 25 + (-17 + 15x) Combine like terms: 25 + -17 = 8 -4 + 12x = 8 + 15x Solving -4 + 12x = 8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 12x + -15x = 8 + 15x + -15x Combine like terms: 12x + -15x = -3x -4 + -3x = 8 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -3x = 8 + 0 -4 + -3x = 8 Add '4' to each side of the equation. -4 + 4 + -3x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 8 + 4 -3x = 8 + 4 Combine like terms: 8 + 4 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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