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Simplifying (19x + -17) + -1(3x + -72) = -13(13x + 83) Reorder the terms: (-17 + 19x) + -1(3x + -72) = -13(13x + 83) Remove parenthesis around (-17 + 19x) -17 + 19x + -1(3x + -72) = -13(13x + 83) Reorder the terms: -17 + 19x + -1(-72 + 3x) = -13(13x + 83) -17 + 19x + (-72 * -1 + 3x * -1) = -13(13x + 83) -17 + 19x + (72 + -3x) = -13(13x + 83) Reorder the terms: -17 + 72 + 19x + -3x = -13(13x + 83) Combine like terms: -17 + 72 = 55 55 + 19x + -3x = -13(13x + 83) Combine like terms: 19x + -3x = 16x 55 + 16x = -13(13x + 83) Reorder the terms: 55 + 16x = -13(83 + 13x) 55 + 16x = (83 * -13 + 13x * -13) 55 + 16x = (-1079 + -169x) Solving 55 + 16x = -1079 + -169x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '169x' to each side of the equation. 55 + 16x + 169x = -1079 + -169x + 169x Combine like terms: 16x + 169x = 185x 55 + 185x = -1079 + -169x + 169x Combine like terms: -169x + 169x = 0 55 + 185x = -1079 + 0 55 + 185x = -1079 Add '-55' to each side of the equation. 55 + -55 + 185x = -1079 + -55 Combine like terms: 55 + -55 = 0 0 + 185x = -1079 + -55 185x = -1079 + -55 Combine like terms: -1079 + -55 = -1134 185x = -1134 Divide each side by '185'. x = -6.12972973 Simplifying x = -6.12972973
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