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Simplifying -1[7x + -1(13x + 4)] = 4 + (5x + 9) Reorder the terms: -1[7x + -1(4 + 13x)] = 4 + (5x + 9) -1[7x + (4 * -1 + 13x * -1)] = 4 + (5x + 9) -1[7x + (-4 + -13x)] = 4 + (5x + 9) Reorder the terms: -1[-4 + 7x + -13x] = 4 + (5x + 9) Combine like terms: 7x + -13x = -6x -1[-4 + -6x] = 4 + (5x + 9) [-4 * -1 + -6x * -1] = 4 + (5x + 9) [4 + 6x] = 4 + (5x + 9) Reorder the terms: 4 + 6x = 4 + (9 + 5x) Remove parenthesis around (9 + 5x) 4 + 6x = 4 + 9 + 5x Combine like terms: 4 + 9 = 13 4 + 6x = 13 + 5x Solving 4 + 6x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 6x + -5x = 13 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 13 + 0 4 + 1x = 13 Add '-4' to each side of the equation. 4 + -4 + 1x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 13 + -4 1x = 13 + -4 Combine like terms: 13 + -4 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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