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Simplifying 2(2x + 3) + 3(x + 1) = 0 Reorder the terms: 2(3 + 2x) + 3(x + 1) = 0 (3 * 2 + 2x * 2) + 3(x + 1) = 0 (6 + 4x) + 3(x + 1) = 0 Reorder the terms: 6 + 4x + 3(1 + x) = 0 6 + 4x + (1 * 3 + x * 3) = 0 6 + 4x + (3 + 3x) = 0 Reorder the terms: 6 + 3 + 4x + 3x = 0 Combine like terms: 6 + 3 = 9 9 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 9 + 7x = 0 Solving 9 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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