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Simplifying 2(4x + 4) + 6(8x + 1) = 0 Reorder the terms: 2(4 + 4x) + 6(8x + 1) = 0 (4 * 2 + 4x * 2) + 6(8x + 1) = 0 (8 + 8x) + 6(8x + 1) = 0 Reorder the terms: 8 + 8x + 6(1 + 8x) = 0 8 + 8x + (1 * 6 + 8x * 6) = 0 8 + 8x + (6 + 48x) = 0 Reorder the terms: 8 + 6 + 8x + 48x = 0 Combine like terms: 8 + 6 = 14 14 + 8x + 48x = 0 Combine like terms: 8x + 48x = 56x 14 + 56x = 0 Solving 14 + 56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 56x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 56x = 0 + -14 56x = 0 + -14 Combine like terms: 0 + -14 = -14 56x = -14 Divide each side by '56'. x = -0.25 Simplifying x = -0.25
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