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Simplifying 15 + -1[-3x + (8x + -2)] = 7 Reorder the terms: 15 + -1[-3x + (-2 + 8x)] = 7 Remove parenthesis around (-2 + 8x) 15 + -1[-3x + -2 + 8x] = 7 Reorder the terms: 15 + -1[-2 + -3x + 8x] = 7 Combine like terms: -3x + 8x = 5x 15 + -1[-2 + 5x] = 7 15 + [-2 * -1 + 5x * -1] = 7 15 + [2 + -5x] = 7 Combine like terms: 15 + 2 = 17 17 + -5x = 7 Solving 17 + -5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 7 + -17 -5x = 7 + -17 Combine like terms: 7 + -17 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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