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Simplifying 8(6x + 4) + 5(x + 2) = 0 Reorder the terms: 8(4 + 6x) + 5(x + 2) = 0 (4 * 8 + 6x * 8) + 5(x + 2) = 0 (32 + 48x) + 5(x + 2) = 0 Reorder the terms: 32 + 48x + 5(2 + x) = 0 32 + 48x + (2 * 5 + x * 5) = 0 32 + 48x + (10 + 5x) = 0 Reorder the terms: 32 + 10 + 48x + 5x = 0 Combine like terms: 32 + 10 = 42 42 + 48x + 5x = 0 Combine like terms: 48x + 5x = 53x 42 + 53x = 0 Solving 42 + 53x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 53x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 53x = 0 + -42 53x = 0 + -42 Combine like terms: 0 + -42 = -42 53x = -42 Divide each side by '53'. x = -0.7924528302 Simplifying x = -0.7924528302
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