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Simplifying 8(8x + 5) + 6(8x + 1) = 0 Reorder the terms: 8(5 + 8x) + 6(8x + 1) = 0 (5 * 8 + 8x * 8) + 6(8x + 1) = 0 (40 + 64x) + 6(8x + 1) = 0 Reorder the terms: 40 + 64x + 6(1 + 8x) = 0 40 + 64x + (1 * 6 + 8x * 6) = 0 40 + 64x + (6 + 48x) = 0 Reorder the terms: 40 + 6 + 64x + 48x = 0 Combine like terms: 40 + 6 = 46 46 + 64x + 48x = 0 Combine like terms: 64x + 48x = 112x 46 + 112x = 0 Solving 46 + 112x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 112x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 112x = 0 + -46 112x = 0 + -46 Combine like terms: 0 + -46 = -46 112x = -46 Divide each side by '112'. x = -0.4107142857 Simplifying x = -0.4107142857
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