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Simplifying 4(x + 7) + 8(x + 4) = 0 Reorder the terms: 4(7 + x) + 8(x + 4) = 0 (7 * 4 + x * 4) + 8(x + 4) = 0 (28 + 4x) + 8(x + 4) = 0 Reorder the terms: 28 + 4x + 8(4 + x) = 0 28 + 4x + (4 * 8 + x * 8) = 0 28 + 4x + (32 + 8x) = 0 Reorder the terms: 28 + 32 + 4x + 8x = 0 Combine like terms: 28 + 32 = 60 60 + 4x + 8x = 0 Combine like terms: 4x + 8x = 12x 60 + 12x = 0 Solving 60 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 12x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 12x = 0 + -60 12x = 0 + -60 Combine like terms: 0 + -60 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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