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Simplifying 3[9(x + 4) + 2(x + 1)] = 0 Reorder the terms: 3[9(4 + x) + 2(x + 1)] = 0 3[(4 * 9 + x * 9) + 2(x + 1)] = 0 3[(36 + 9x) + 2(x + 1)] = 0 Reorder the terms: 3[36 + 9x + 2(1 + x)] = 0 3[36 + 9x + (1 * 2 + x * 2)] = 0 3[36 + 9x + (2 + 2x)] = 0 Reorder the terms: 3[36 + 2 + 9x + 2x] = 0 Combine like terms: 36 + 2 = 38 3[38 + 9x + 2x] = 0 Combine like terms: 9x + 2x = 11x 3[38 + 11x] = 0 [38 * 3 + 11x * 3] = 0 [114 + 33x] = 0 Solving 114 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 33x = 0 + -114 Combine like terms: 114 + -114 = 0 0 + 33x = 0 + -114 33x = 0 + -114 Combine like terms: 0 + -114 = -114 33x = -114 Divide each side by '33'. x = -3.454545455 Simplifying x = -3.454545455
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