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Simplifying [3(x + -4)] + [5(x + 4)] = 0 Reorder the terms: [3(-4 + x)] + [5(x + 4)] = 0 [(-4 * 3 + x * 3)] + [5(x + 4)] = 0 [(-12 + 3x)] + [5(x + 4)] = 0 [-12 + 3x] + [5(x + 4)] = 0 Remove brackets around [-12 + 3x] -12 + 3x + [5(x + 4)] = 0 Reorder the terms: -12 + 3x + [5(4 + x)] = 0 -12 + 3x + [(4 * 5 + x * 5)] = 0 -12 + 3x + [(20 + 5x)] = 0 -12 + 3x + [20 + 5x] = 0 Remove brackets around [20 + 5x] -12 + 3x + 20 + 5x = 0 Reorder the terms: -12 + 20 + 3x + 5x = 0 Combine like terms: -12 + 20 = 8 8 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 8 + 8x = 0 Solving 8 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 0 + -8 8x = 0 + -8 Combine like terms: 0 + -8 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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