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Simplifying 2(4x + 1) + 3(2x + 3) = 0 Reorder the terms: 2(1 + 4x) + 3(2x + 3) = 0 (1 * 2 + 4x * 2) + 3(2x + 3) = 0 (2 + 8x) + 3(2x + 3) = 0 Reorder the terms: 2 + 8x + 3(3 + 2x) = 0 2 + 8x + (3 * 3 + 2x * 3) = 0 2 + 8x + (9 + 6x) = 0 Reorder the terms: 2 + 9 + 8x + 6x = 0 Combine like terms: 2 + 9 = 11 11 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 11 + 14x = 0 Solving 11 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 0 + -11 14x = 0 + -11 Combine like terms: 0 + -11 = -11 14x = -11 Divide each side by '14'. x = -0.7857142857 Simplifying x = -0.7857142857
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