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Simplifying 19x + -17 + -1(3x + -27) = -13 + (13x + 83) Reorder the terms: 19x + -17 + -1(-27 + 3x) = -13 + (13x + 83) 19x + -17 + (-27 * -1 + 3x * -1) = -13 + (13x + 83) 19x + -17 + (27 + -3x) = -13 + (13x + 83) Reorder the terms: -17 + 27 + 19x + -3x = -13 + (13x + 83) Combine like terms: -17 + 27 = 10 10 + 19x + -3x = -13 + (13x + 83) Combine like terms: 19x + -3x = 16x 10 + 16x = -13 + (13x + 83) Reorder the terms: 10 + 16x = -13 + (83 + 13x) Remove parenthesis around (83 + 13x) 10 + 16x = -13 + 83 + 13x Combine like terms: -13 + 83 = 70 10 + 16x = 70 + 13x Solving 10 + 16x = 70 + 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. 10 + 16x + -13x = 70 + 13x + -13x Combine like terms: 16x + -13x = 3x 10 + 3x = 70 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + 3x = 70 + 0 10 + 3x = 70 Add '-10' to each side of the equation. 10 + -10 + 3x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 70 + -10 3x = 70 + -10 Combine like terms: 70 + -10 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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