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