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Simplifying 3(4x + 3) + 2(7x + 1) = 0 Reorder the terms: 3(3 + 4x) + 2(7x + 1) = 0 (3 * 3 + 4x * 3) + 2(7x + 1) = 0 (9 + 12x) + 2(7x + 1) = 0 Reorder the terms: 9 + 12x + 2(1 + 7x) = 0 9 + 12x + (1 * 2 + 7x * 2) = 0 9 + 12x + (2 + 14x) = 0 Reorder the terms: 9 + 2 + 12x + 14x = 0 Combine like terms: 9 + 2 = 11 11 + 12x + 14x = 0 Combine like terms: 12x + 14x = 26x 11 + 26x = 0 Solving 11 + 26x = 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 + 26x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 26x = 0 + -11 26x = 0 + -11 Combine like terms: 0 + -11 = -11 26x = -11 Divide each side by '26'. x = -0.4230769231 Simplifying x = -0.4230769231
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