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Simplifying 5x + -1[2x + -4(x + -1)] = x + 8 Reorder the terms: 5x + -1[2x + -4(-1 + x)] = x + 8 5x + -1[2x + (-1 * -4 + x * -4)] = x + 8 5x + -1[2x + (4 + -4x)] = x + 8 Reorder the terms: 5x + -1[4 + 2x + -4x] = x + 8 Combine like terms: 2x + -4x = -2x 5x + -1[4 + -2x] = x + 8 5x + [4 * -1 + -2x * -1] = x + 8 5x + [-4 + 2x] = x + 8 Reorder the terms: -4 + 5x + 2x = x + 8 Combine like terms: 5x + 2x = 7x -4 + 7x = x + 8 Reorder the terms: -4 + 7x = 8 + x Solving -4 + 7x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 7x + -1x = 8 + x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 8 + x + -1x Combine like terms: x + -1x = 0 -4 + 6x = 8 + 0 -4 + 6x = 8 Add '4' to each side of the equation. -4 + 4 + 6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 8 + 4 6x = 8 + 4 Combine like terms: 8 + 4 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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