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Simplifying 4(2x + 1) + 3(x + 6) = 0 Reorder the terms: 4(1 + 2x) + 3(x + 6) = 0 (1 * 4 + 2x * 4) + 3(x + 6) = 0 (4 + 8x) + 3(x + 6) = 0 Reorder the terms: 4 + 8x + 3(6 + x) = 0 4 + 8x + (6 * 3 + x * 3) = 0 4 + 8x + (18 + 3x) = 0 Reorder the terms: 4 + 18 + 8x + 3x = 0 Combine like terms: 4 + 18 = 22 22 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 22 + 11x = 0 Solving 22 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = 0 + -22 11x = 0 + -22 Combine like terms: 0 + -22 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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