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Simplifying 3(4x + 6) + -1(3x + 7) = 0 Reorder the terms: 3(6 + 4x) + -1(3x + 7) = 0 (6 * 3 + 4x * 3) + -1(3x + 7) = 0 (18 + 12x) + -1(3x + 7) = 0 Reorder the terms: 18 + 12x + -1(7 + 3x) = 0 18 + 12x + (7 * -1 + 3x * -1) = 0 18 + 12x + (-7 + -3x) = 0 Reorder the terms: 18 + -7 + 12x + -3x = 0 Combine like terms: 18 + -7 = 11 11 + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x 11 + 9x = 0 Solving 11 + 9x = 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 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222
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