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Simplifying 3x + -1[7 + -1(x + -1)] = 6x Reorder the terms: 3x + -1[7 + -1(-1 + x)] = 6x 3x + -1[7 + (-1 * -1 + x * -1)] = 6x 3x + -1[7 + (1 + -1x)] = 6x Combine like terms: 7 + 1 = 8 3x + -1[8 + -1x] = 6x 3x + [8 * -1 + -1x * -1] = 6x 3x + [-8 + 1x] = 6x Reorder the terms: -8 + 3x + 1x = 6x Combine like terms: 3x + 1x = 4x -8 + 4x = 6x Solving -8 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = 0 Add '8' to each side of the equation. -8 + 8 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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