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Simplifying 7x + -1[x + -1(5 + -2x) + 2(x + -1)] = 11 7x + -1[x + (5 * -1 + -2x * -1) + 2(x + -1)] = 11 7x + -1[x + (-5 + 2x) + 2(x + -1)] = 11 Reorder the terms: 7x + -1[x + -5 + 2x + 2(-1 + x)] = 11 7x + -1[x + -5 + 2x + (-1 * 2 + x * 2)] = 11 7x + -1[x + -5 + 2x + (-2 + 2x)] = 11 Reorder the terms: 7x + -1[-5 + -2 + x + 2x + 2x] = 11 Combine like terms: -5 + -2 = -7 7x + -1[-7 + x + 2x + 2x] = 11 Combine like terms: x + 2x = 3x 7x + -1[-7 + 3x + 2x] = 11 Combine like terms: 3x + 2x = 5x 7x + -1[-7 + 5x] = 11 7x + [-7 * -1 + 5x * -1] = 11 7x + [7 + -5x] = 11 Reorder the terms: 7 + 7x + -5x = 11 Combine like terms: 7x + -5x = 2x 7 + 2x = 11 Solving 7 + 2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 11 + -7 2x = 11 + -7 Combine like terms: 11 + -7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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