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Simplifying 7(4x + 2) + 8(x + 4) = 0 Reorder the terms: 7(2 + 4x) + 8(x + 4) = 0 (2 * 7 + 4x * 7) + 8(x + 4) = 0 (14 + 28x) + 8(x + 4) = 0 Reorder the terms: 14 + 28x + 8(4 + x) = 0 14 + 28x + (4 * 8 + x * 8) = 0 14 + 28x + (32 + 8x) = 0 Reorder the terms: 14 + 32 + 28x + 8x = 0 Combine like terms: 14 + 32 = 46 46 + 28x + 8x = 0 Combine like terms: 28x + 8x = 36x 46 + 36x = 0 Solving 46 + 36x = 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 + 36x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 36x = 0 + -46 36x = 0 + -46 Combine like terms: 0 + -46 = -46 36x = -46 Divide each side by '36'. x = -1.277777778 Simplifying x = -1.277777778
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