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Simplifying 3(2x + 3) + 4(x + 2) = 0 Reorder the terms: 3(3 + 2x) + 4(x + 2) = 0 (3 * 3 + 2x * 3) + 4(x + 2) = 0 (9 + 6x) + 4(x + 2) = 0 Reorder the terms: 9 + 6x + 4(2 + x) = 0 9 + 6x + (2 * 4 + x * 4) = 0 9 + 6x + (8 + 4x) = 0 Reorder the terms: 9 + 8 + 6x + 4x = 0 Combine like terms: 9 + 8 = 17 17 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x 17 + 10x = 0 Solving 17 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 10x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 0 + -17 10x = 0 + -17 Combine like terms: 0 + -17 = -17 10x = -17 Divide each side by '10'. x = -1.7 Simplifying x = -1.7
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