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