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Simplifying (3x * 2 + 6x + 5) + (4x * 2 + 9x + -6) = 0 Reorder the terms for easier multiplication: (3 * 2x + 6x + 5) + (4x * 2 + 9x + -6) = 0 Multiply 3 * 2 (6x + 6x + 5) + (4x * 2 + 9x + -6) = 0 Reorder the terms: (5 + 6x + 6x) + (4x * 2 + 9x + -6) = 0 Combine like terms: 6x + 6x = 12x (5 + 12x) + (4x * 2 + 9x + -6) = 0 Remove parenthesis around (5 + 12x) 5 + 12x + (4x * 2 + 9x + -6) = 0 Reorder the terms for easier multiplication: 5 + 12x + (4 * 2x + 9x + -6) = 0 Multiply 4 * 2 5 + 12x + (8x + 9x + -6) = 0 Reorder the terms: 5 + 12x + (-6 + 8x + 9x) = 0 Combine like terms: 8x + 9x = 17x 5 + 12x + (-6 + 17x) = 0 Remove parenthesis around (-6 + 17x) 5 + 12x + -6 + 17x = 0 Reorder the terms: 5 + -6 + 12x + 17x = 0 Combine like terms: 5 + -6 = -1 -1 + 12x + 17x = 0 Combine like terms: 12x + 17x = 29x -1 + 29x = 0 Solving -1 + 29x = 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 + 29x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 29x = 0 + 1 29x = 0 + 1 Combine like terms: 0 + 1 = 1 29x = 1 Divide each side by '29'. x = 0.03448275862 Simplifying x = 0.03448275862
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