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Simplifying 2(7x + 3) + -3(4x + 1) = 0 Reorder the terms: 2(3 + 7x) + -3(4x + 1) = 0 (3 * 2 + 7x * 2) + -3(4x + 1) = 0 (6 + 14x) + -3(4x + 1) = 0 Reorder the terms: 6 + 14x + -3(1 + 4x) = 0 6 + 14x + (1 * -3 + 4x * -3) = 0 6 + 14x + (-3 + -12x) = 0 Reorder the terms: 6 + -3 + 14x + -12x = 0 Combine like terms: 6 + -3 = 3 3 + 14x + -12x = 0 Combine like terms: 14x + -12x = 2x 3 + 2x = 0 Solving 3 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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