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Simplifying 22x + (3x + -19) + -1(11x + -15) = 25 + -1(17 + -13x) Reorder the terms: 22x + (-19 + 3x) + -1(11x + -15) = 25 + -1(17 + -13x) Remove parenthesis around (-19 + 3x) 22x + -19 + 3x + -1(11x + -15) = 25 + -1(17 + -13x) Reorder the terms: 22x + -19 + 3x + -1(-15 + 11x) = 25 + -1(17 + -13x) 22x + -19 + 3x + (-15 * -1 + 11x * -1) = 25 + -1(17 + -13x) 22x + -19 + 3x + (15 + -11x) = 25 + -1(17 + -13x) Reorder the terms: -19 + 15 + 22x + 3x + -11x = 25 + -1(17 + -13x) Combine like terms: -19 + 15 = -4 -4 + 22x + 3x + -11x = 25 + -1(17 + -13x) Combine like terms: 22x + 3x = 25x -4 + 25x + -11x = 25 + -1(17 + -13x) Combine like terms: 25x + -11x = 14x -4 + 14x = 25 + -1(17 + -13x) -4 + 14x = 25 + (17 * -1 + -13x * -1) -4 + 14x = 25 + (-17 + 13x) Combine like terms: 25 + -17 = 8 -4 + 14x = 8 + 13x Solving -4 + 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. -4 + 14x + -13x = 8 + 13x + -13x Combine like terms: 14x + -13x = 1x -4 + 1x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + 1x = 8 + 0 -4 + 1x = 8 Add '4' to each side of the equation. -4 + 4 + 1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 8 + 4 1x = 8 + 4 Combine like terms: 8 + 4 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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