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Simplifying 6(4x + -9) + 5(3x + 11) = 0 Reorder the terms: 6(-9 + 4x) + 5(3x + 11) = 0 (-9 * 6 + 4x * 6) + 5(3x + 11) = 0 (-54 + 24x) + 5(3x + 11) = 0 Reorder the terms: -54 + 24x + 5(11 + 3x) = 0 -54 + 24x + (11 * 5 + 3x * 5) = 0 -54 + 24x + (55 + 15x) = 0 Reorder the terms: -54 + 55 + 24x + 15x = 0 Combine like terms: -54 + 55 = 1 1 + 24x + 15x = 0 Combine like terms: 24x + 15x = 39x 1 + 39x = 0 Solving 1 + 39x = 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 + 39x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 39x = 0 + -1 39x = 0 + -1 Combine like terms: 0 + -1 = -1 39x = -1 Divide each side by '39'. x = -0.02564102564 Simplifying x = -0.02564102564
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