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Simplifying 2x + -1[2(x + 4) + 4] = 6x Reorder the terms: 2x + -1[2(4 + x) + 4] = 6x 2x + -1[(4 * 2 + x * 2) + 4] = 6x 2x + -1[(8 + 2x) + 4] = 6x Reorder the terms: 2x + -1[8 + 4 + 2x] = 6x Combine like terms: 8 + 4 = 12 2x + -1[12 + 2x] = 6x 2x + [12 * -1 + 2x * -1] = 6x 2x + [-12 + -2x] = 6x Reorder the terms: -12 + 2x + -2x = 6x Combine like terms: 2x + -2x = 0 -12 + 0 = 6x -12 = 6x Solving -12 = 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. -12 + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -6x = 0 Add '12' to each side of the equation. -12 + 12 + -6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 0 + 12 -6x = 0 + 12 Combine like terms: 0 + 12 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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