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Simplifying 6x + 2 + 5(x + 4) + 1 = 0 Reorder the terms: 6x + 2 + 5(4 + x) + 1 = 0 6x + 2 + (4 * 5 + x * 5) + 1 = 0 6x + 2 + (20 + 5x) + 1 = 0 Reorder the terms: 2 + 20 + 1 + 6x + 5x = 0 Combine like terms: 2 + 20 = 22 22 + 1 + 6x + 5x = 0 Combine like terms: 22 + 1 = 23 23 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x 23 + 11x = 0 Solving 23 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 11x = 0 + -23 11x = 0 + -23 Combine like terms: 0 + -23 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091
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