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Simplifying [2x + 3[x + 1]] + 4[x + 2] = 0 Reorder the terms: [2x + 3[1 + x]] + 4[x + 2] = 0 [2x + [1 * 3 + x * 3]] + 4[x + 2] = 0 [2x + [3 + 3x]] + 4[x + 2] = 0 Reorder the terms: [3 + 2x + 3x] + 4[x + 2] = 0 Combine like terms: 2x + 3x = 5x [3 + 5x] + 4[x + 2] = 0 Remove brackets around [3 + 5x] 3 + 5x + 4[x + 2] = 0 Reorder the terms: 3 + 5x + 4[2 + x] = 0 3 + 5x + [2 * 4 + x * 4] = 0 3 + 5x + [8 + 4x] = 0 Reorder the terms: 3 + 8 + 5x + 4x = 0 Combine like terms: 3 + 8 = 11 11 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x 11 + 9x = 0 Solving 11 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222
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