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Simplifying -1[3x + -1(9x + 7)] = 7 + (5x + 3) Reorder the terms: -1[3x + -1(7 + 9x)] = 7 + (5x + 3) -1[3x + (7 * -1 + 9x * -1)] = 7 + (5x + 3) -1[3x + (-7 + -9x)] = 7 + (5x + 3) Reorder the terms: -1[-7 + 3x + -9x] = 7 + (5x + 3) Combine like terms: 3x + -9x = -6x -1[-7 + -6x] = 7 + (5x + 3) [-7 * -1 + -6x * -1] = 7 + (5x + 3) [7 + 6x] = 7 + (5x + 3) Reorder the terms: 7 + 6x = 7 + (3 + 5x) Remove parenthesis around (3 + 5x) 7 + 6x = 7 + 3 + 5x Combine like terms: 7 + 3 = 10 7 + 6x = 10 + 5x Solving 7 + 6x = 10 + 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. 7 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = 10 + 0 7 + 1x = 10 Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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