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Simplifying [2x + 4[x + 1]] + 2[x + 3[x + 4]] = 0 Reorder the terms: [2x + 4[1 + x]] + 2[x + 3[x + 4]] = 0 [2x + [1 * 4 + x * 4]] + 2[x + 3[x + 4]] = 0 [2x + [4 + 4x]] + 2[x + 3[x + 4]] = 0 Reorder the terms: [4 + 2x + 4x] + 2[x + 3[x + 4]] = 0 Combine like terms: 2x + 4x = 6x [4 + 6x] + 2[x + 3[x + 4]] = 0 Remove brackets around [4 + 6x] 4 + 6x + 2[x + 3[x + 4]] = 0 Reorder the terms: 4 + 6x + 2[x + 3[4 + x]] = 0 4 + 6x + 2[x + [4 * 3 + x * 3]] = 0 4 + 6x + 2[x + [12 + 3x]] = 0 Reorder the terms: 4 + 6x + 2[12 + x + 3x] = 0 Combine like terms: x + 3x = 4x 4 + 6x + 2[12 + 4x] = 0 4 + 6x + [12 * 2 + 4x * 2] = 0 4 + 6x + [24 + 8x] = 0 Reorder the terms: 4 + 24 + 6x + 8x = 0 Combine like terms: 4 + 24 = 28 28 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 28 + 14x = 0 Solving 28 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 14x = 0 + -28 14x = 0 + -28 Combine like terms: 0 + -28 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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