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Simplifying 4(3x + 2) + -1(x + 5) = 0 Reorder the terms: 4(2 + 3x) + -1(x + 5) = 0 (2 * 4 + 3x * 4) + -1(x + 5) = 0 (8 + 12x) + -1(x + 5) = 0 Reorder the terms: 8 + 12x + -1(5 + x) = 0 8 + 12x + (5 * -1 + x * -1) = 0 8 + 12x + (-5 + -1x) = 0 Reorder the terms: 8 + -5 + 12x + -1x = 0 Combine like terms: 8 + -5 = 3 3 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x 3 + 11x = 0 Solving 3 + 11x = 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 + 11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 0 + -3 11x = 0 + -3 Combine like terms: 0 + -3 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727
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