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Simplifying 6 + 2(8 + 6x) + -9(3x + 4) = 0 6 + (8 * 2 + 6x * 2) + -9(3x + 4) = 0 6 + (16 + 12x) + -9(3x + 4) = 0 Reorder the terms: 6 + 16 + 12x + -9(4 + 3x) = 0 6 + 16 + 12x + (4 * -9 + 3x * -9) = 0 6 + 16 + 12x + (-36 + -27x) = 0 Reorder the terms: 6 + 16 + -36 + 12x + -27x = 0 Combine like terms: 6 + 16 = 22 22 + -36 + 12x + -27x = 0 Combine like terms: 22 + -36 = -14 -14 + 12x + -27x = 0 Combine like terms: 12x + -27x = -15x -14 + -15x = 0 Solving -14 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -15x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = 0 + 14 -15x = 0 + 14 Combine like terms: 0 + 14 = 14 -15x = 14 Divide each side by '-15'. x = -0.9333333333 Simplifying x = -0.9333333333
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