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Simplifying 2(6x + 5) + -1(8x + 9) = 0 Reorder the terms: 2(5 + 6x) + -1(8x + 9) = 0 (5 * 2 + 6x * 2) + -1(8x + 9) = 0 (10 + 12x) + -1(8x + 9) = 0 Reorder the terms: 10 + 12x + -1(9 + 8x) = 0 10 + 12x + (9 * -1 + 8x * -1) = 0 10 + 12x + (-9 + -8x) = 0 Reorder the terms: 10 + -9 + 12x + -8x = 0 Combine like terms: 10 + -9 = 1 1 + 12x + -8x = 0 Combine like terms: 12x + -8x = 4x 1 + 4x = 0 Solving 1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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