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Simplifying 2(27 + 4x) + 2(8x + 3) = 0 (27 * 2 + 4x * 2) + 2(8x + 3) = 0 (54 + 8x) + 2(8x + 3) = 0 Reorder the terms: 54 + 8x + 2(3 + 8x) = 0 54 + 8x + (3 * 2 + 8x * 2) = 0 54 + 8x + (6 + 16x) = 0 Reorder the terms: 54 + 6 + 8x + 16x = 0 Combine like terms: 54 + 6 = 60 60 + 8x + 16x = 0 Combine like terms: 8x + 16x = 24x 60 + 24x = 0 Solving 60 + 24x = 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 + 24x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 24x = 0 + -60 24x = 0 + -60 Combine like terms: 0 + -60 = -60 24x = -60 Divide each side by '24'. x = -2.5 Simplifying x = -2.5
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