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