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Simplifying [8x + -2[x + 3]] + 3[x + 4] = 0 Reorder the terms: [8x + -2[3 + x]] + 3[x + 4] = 0 [8x + [3 * -2 + x * -2]] + 3[x + 4] = 0 [8x + [-6 + -2x]] + 3[x + 4] = 0 Reorder the terms: [-6 + 8x + -2x] + 3[x + 4] = 0 Combine like terms: 8x + -2x = 6x [-6 + 6x] + 3[x + 4] = 0 Remove brackets around [-6 + 6x] -6 + 6x + 3[x + 4] = 0 Reorder the terms: -6 + 6x + 3[4 + x] = 0 -6 + 6x + [4 * 3 + x * 3] = 0 -6 + 6x + [12 + 3x] = 0 Reorder the terms: -6 + 12 + 6x + 3x = 0 Combine like terms: -6 + 12 = 6 6 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 6 + 9x = 0 Solving 6 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 0 + -6 9x = 0 + -6 Combine like terms: 0 + -6 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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