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Simplifying 2(x + 4) + 8(2x + 6) = 0 Reorder the terms: 2(4 + x) + 8(2x + 6) = 0 (4 * 2 + x * 2) + 8(2x + 6) = 0 (8 + 2x) + 8(2x + 6) = 0 Reorder the terms: 8 + 2x + 8(6 + 2x) = 0 8 + 2x + (6 * 8 + 2x * 8) = 0 8 + 2x + (48 + 16x) = 0 Reorder the terms: 8 + 48 + 2x + 16x = 0 Combine like terms: 8 + 48 = 56 56 + 2x + 16x = 0 Combine like terms: 2x + 16x = 18x 56 + 18x = 0 Solving 56 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 18x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 18x = 0 + -56 18x = 0 + -56 Combine like terms: 0 + -56 = -56 18x = -56 Divide each side by '18'. x = -3.111111111 Simplifying x = -3.111111111
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