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Simplifying 8(3x + 2) + -9(6x + 4) = 0 Reorder the terms: 8(2 + 3x) + -9(6x + 4) = 0 (2 * 8 + 3x * 8) + -9(6x + 4) = 0 (16 + 24x) + -9(6x + 4) = 0 Reorder the terms: 16 + 24x + -9(4 + 6x) = 0 16 + 24x + (4 * -9 + 6x * -9) = 0 16 + 24x + (-36 + -54x) = 0 Reorder the terms: 16 + -36 + 24x + -54x = 0 Combine like terms: 16 + -36 = -20 -20 + 24x + -54x = 0 Combine like terms: 24x + -54x = -30x -20 + -30x = 0 Solving -20 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -30x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -30x = 0 + 20 -30x = 0 + 20 Combine like terms: 0 + 20 = 20 -30x = 20 Divide each side by '-30'. x = -0.6666666667 Simplifying x = -0.6666666667
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