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Simplifying 3x + -1[16x + -10 + -1(17 + -9x)] = 2 + (28 + -23x) 3x + -1[16x + -10 + (17 * -1 + -9x * -1)] = 2 + (28 + -23x) 3x + -1[16x + -10 + (-17 + 9x)] = 2 + (28 + -23x) Reorder the terms: 3x + -1[-10 + -17 + 16x + 9x] = 2 + (28 + -23x) Combine like terms: -10 + -17 = -27 3x + -1[-27 + 16x + 9x] = 2 + (28 + -23x) Combine like terms: 16x + 9x = 25x 3x + -1[-27 + 25x] = 2 + (28 + -23x) 3x + [-27 * -1 + 25x * -1] = 2 + (28 + -23x) 3x + [27 + -25x] = 2 + (28 + -23x) Reorder the terms: 27 + 3x + -25x = 2 + (28 + -23x) Combine like terms: 3x + -25x = -22x 27 + -22x = 2 + (28 + -23x) Remove parenthesis around (28 + -23x) 27 + -22x = 2 + 28 + -23x Combine like terms: 2 + 28 = 30 27 + -22x = 30 + -23x Solving 27 + -22x = 30 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 27 + -22x + 23x = 30 + -23x + 23x Combine like terms: -22x + 23x = 1x 27 + 1x = 30 + -23x + 23x Combine like terms: -23x + 23x = 0 27 + 1x = 30 + 0 27 + 1x = 30 Add '-27' to each side of the equation. 27 + -27 + 1x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 30 + -27 1x = 30 + -27 Combine like terms: 30 + -27 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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