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Simplifying 2(6x + -8) + 3(5x + 9) = 0 Reorder the terms: 2(-8 + 6x) + 3(5x + 9) = 0 (-8 * 2 + 6x * 2) + 3(5x + 9) = 0 (-16 + 12x) + 3(5x + 9) = 0 Reorder the terms: -16 + 12x + 3(9 + 5x) = 0 -16 + 12x + (9 * 3 + 5x * 3) = 0 -16 + 12x + (27 + 15x) = 0 Reorder the terms: -16 + 27 + 12x + 15x = 0 Combine like terms: -16 + 27 = 11 11 + 12x + 15x = 0 Combine like terms: 12x + 15x = 27x 11 + 27x = 0 Solving 11 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 27x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 27x = 0 + -11 27x = 0 + -11 Combine like terms: 0 + -11 = -11 27x = -11 Divide each side by '27'. x = -0.4074074074 Simplifying x = -0.4074074074
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