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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) Remove parenthesis around (83 + 13x) 55 + 16x = 13 + 83 + 13x Combine like terms: 13 + 83 = 96 55 + 16x = 96 + 13x Solving 55 + 16x = 96 + 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. 55 + 16x + -13x = 96 + 13x + -13x Combine like terms: 16x + -13x = 3x 55 + 3x = 96 + 13x + -13x Combine like terms: 13x + -13x = 0 55 + 3x = 96 + 0 55 + 3x = 96 Add '-55' to each side of the equation. 55 + -55 + 3x = 96 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = 96 + -55 3x = 96 + -55 Combine like terms: 96 + -55 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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