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Simplifying (19x + 3) = (11x + -2) + (9x + 1) Reorder the terms: (3 + 19x) = (11x + -2) + (9x + 1) Remove parenthesis around (3 + 19x) 3 + 19x = (11x + -2) + (9x + 1) Reorder the terms: 3 + 19x = (-2 + 11x) + (9x + 1) Remove parenthesis around (-2 + 11x) 3 + 19x = -2 + 11x + (9x + 1) Reorder the terms: 3 + 19x = -2 + 11x + (1 + 9x) Remove parenthesis around (1 + 9x) 3 + 19x = -2 + 11x + 1 + 9x Reorder the terms: 3 + 19x = -2 + 1 + 11x + 9x Combine like terms: -2 + 1 = -1 3 + 19x = -1 + 11x + 9x Combine like terms: 11x + 9x = 20x 3 + 19x = -1 + 20x Solving 3 + 19x = -1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 3 + 19x + -20x = -1 + 20x + -20x Combine like terms: 19x + -20x = -1x 3 + -1x = -1 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + -1x = -1 + 0 3 + -1x = -1 Add '-3' to each side of the equation. 3 + -3 + -1x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -1 + -3 -1x = -1 + -3 Combine like terms: -1 + -3 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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