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Simplifying 2x + -1[-5x + (6x + -5)] = 7 Reorder the terms: 2x + -1[-5x + (-5 + 6x)] = 7 Remove parenthesis around (-5 + 6x) 2x + -1[-5x + -5 + 6x] = 7 Reorder the terms: 2x + -1[-5 + -5x + 6x] = 7 Combine like terms: -5x + 6x = 1x 2x + -1[-5 + 1x] = 7 2x + [-5 * -1 + 1x * -1] = 7 2x + [5 + -1x] = 7 Reorder the terms: 5 + 2x + -1x = 7 Combine like terms: 2x + -1x = 1x 5 + 1x = 7 Solving 5 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 7 + -5 1x = 7 + -5 Combine like terms: 7 + -5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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