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Simplifying 2[x + 4] = 2[-8 + -1x] + -2x Reorder the terms: 2[4 + x] = 2[-8 + -1x] + -2x [4 * 2 + x * 2] = 2[-8 + -1x] + -2x [8 + 2x] = 2[-8 + -1x] + -2x 8 + 2x = [-8 * 2 + -1x * 2] + -2x 8 + 2x = [-16 + -2x] + -2x Combine like terms: -2x + -2x = -4x 8 + 2x = -16 + -4x Solving 8 + 2x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 2x + 4x = -16 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = -16 + 0 8 + 6x = -16 Add '-8' to each side of the equation. 8 + -8 + 6x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -16 + -8 6x = -16 + -8 Combine like terms: -16 + -8 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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