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Simplifying 2(3x + 5) + 4(3x + 2) = 0 Reorder the terms: 2(5 + 3x) + 4(3x + 2) = 0 (5 * 2 + 3x * 2) + 4(3x + 2) = 0 (10 + 6x) + 4(3x + 2) = 0 Reorder the terms: 10 + 6x + 4(2 + 3x) = 0 10 + 6x + (2 * 4 + 3x * 4) = 0 10 + 6x + (8 + 12x) = 0 Reorder the terms: 10 + 8 + 6x + 12x = 0 Combine like terms: 10 + 8 = 18 18 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 18 + 18x = 0 Solving 18 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 18x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 18x = 0 + -18 18x = 0 + -18 Combine like terms: 0 + -18 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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