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Simplifying (13x + -1) + (14x + 2) + -1(12x + -3) = (8x + -1) + (6x + 8) Reorder the terms: (-1 + 13x) + (14x + 2) + -1(12x + -3) = (8x + -1) + (6x + 8) Remove parenthesis around (-1 + 13x) -1 + 13x + (14x + 2) + -1(12x + -3) = (8x + -1) + (6x + 8) Reorder the terms: -1 + 13x + (2 + 14x) + -1(12x + -3) = (8x + -1) + (6x + 8) Remove parenthesis around (2 + 14x) -1 + 13x + 2 + 14x + -1(12x + -3) = (8x + -1) + (6x + 8) Reorder the terms: -1 + 13x + 2 + 14x + -1(-3 + 12x) = (8x + -1) + (6x + 8) -1 + 13x + 2 + 14x + (-3 * -1 + 12x * -1) = (8x + -1) + (6x + 8) -1 + 13x + 2 + 14x + (3 + -12x) = (8x + -1) + (6x + 8) Reorder the terms: -1 + 2 + 3 + 13x + 14x + -12x = (8x + -1) + (6x + 8) Combine like terms: -1 + 2 = 1 1 + 3 + 13x + 14x + -12x = (8x + -1) + (6x + 8) Combine like terms: 1 + 3 = 4 4 + 13x + 14x + -12x = (8x + -1) + (6x + 8) Combine like terms: 13x + 14x = 27x 4 + 27x + -12x = (8x + -1) + (6x + 8) Combine like terms: 27x + -12x = 15x 4 + 15x = (8x + -1) + (6x + 8) Reorder the terms: 4 + 15x = (-1 + 8x) + (6x + 8) Remove parenthesis around (-1 + 8x) 4 + 15x = -1 + 8x + (6x + 8) Reorder the terms: 4 + 15x = -1 + 8x + (8 + 6x) Remove parenthesis around (8 + 6x) 4 + 15x = -1 + 8x + 8 + 6x Reorder the terms: 4 + 15x = -1 + 8 + 8x + 6x Combine like terms: -1 + 8 = 7 4 + 15x = 7 + 8x + 6x Combine like terms: 8x + 6x = 14x 4 + 15x = 7 + 14x Solving 4 + 15x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + 15x + -14x = 7 + 14x + -14x Combine like terms: 15x + -14x = 1x 4 + 1x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + 1x = 7 + 0 4 + 1x = 7 Add '-4' to each side of the equation. 4 + -4 + 1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 7 + -4 1x = 7 + -4 Combine like terms: 7 + -4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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