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Simplifying 5(x + 1) + 2x + 1 = -8 Reorder the terms: 5(1 + x) + 2x + 1 = -8 (1 * 5 + x * 5) + 2x + 1 = -8 (5 + 5x) + 2x + 1 = -8 Reorder the terms: 5 + 1 + 5x + 2x = -8 Combine like terms: 5 + 1 = 6 6 + 5x + 2x = -8 Combine like terms: 5x + 2x = 7x 6 + 7x = -8 Solving 6 + 7x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -8 + -6 7x = -8 + -6 Combine like terms: -8 + -6 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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