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Simplifying 2(2x + 1) + 6(3x + 2) = 0 Reorder the terms: 2(1 + 2x) + 6(3x + 2) = 0 (1 * 2 + 2x * 2) + 6(3x + 2) = 0 (2 + 4x) + 6(3x + 2) = 0 Reorder the terms: 2 + 4x + 6(2 + 3x) = 0 2 + 4x + (2 * 6 + 3x * 6) = 0 2 + 4x + (12 + 18x) = 0 Reorder the terms: 2 + 12 + 4x + 18x = 0 Combine like terms: 2 + 12 = 14 14 + 4x + 18x = 0 Combine like terms: 4x + 18x = 22x 14 + 22x = 0 Solving 14 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 22x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 22x = 0 + -14 22x = 0 + -14 Combine like terms: 0 + -14 = -14 22x = -14 Divide each side by '22'. x = -0.6363636364 Simplifying x = -0.6363636364
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