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Simplifying 5(7x + 8) + 7(8x + 3) = 0 Reorder the terms: 5(8 + 7x) + 7(8x + 3) = 0 (8 * 5 + 7x * 5) + 7(8x + 3) = 0 (40 + 35x) + 7(8x + 3) = 0 Reorder the terms: 40 + 35x + 7(3 + 8x) = 0 40 + 35x + (3 * 7 + 8x * 7) = 0 40 + 35x + (21 + 56x) = 0 Reorder the terms: 40 + 21 + 35x + 56x = 0 Combine like terms: 40 + 21 = 61 61 + 35x + 56x = 0 Combine like terms: 35x + 56x = 91x 61 + 91x = 0 Solving 61 + 91x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 91x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 91x = 0 + -61 91x = 0 + -61 Combine like terms: 0 + -61 = -61 91x = -61 Divide each side by '91'. x = -0.6703296703 Simplifying x = -0.6703296703
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