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Simplifying 2[2x + (4 + -1x) + -8] = 4x + 12 Remove parenthesis around (4 + -1x) 2[2x + 4 + -1x + -8] = 4x + 12 Reorder the terms: 2[4 + -8 + 2x + -1x] = 4x + 12 Combine like terms: 4 + -8 = -4 2[-4 + 2x + -1x] = 4x + 12 Combine like terms: 2x + -1x = 1x 2[-4 + 1x] = 4x + 12 [-4 * 2 + 1x * 2] = 4x + 12 [-8 + 2x] = 4x + 12 Reorder the terms: -8 + 2x = 12 + 4x Solving -8 + 2x = 12 + 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 = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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