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Simplifying 2(x + 7) + 3(x + 1) = 0 Reorder the terms: 2(7 + x) + 3(x + 1) = 0 (7 * 2 + x * 2) + 3(x + 1) = 0 (14 + 2x) + 3(x + 1) = 0 Reorder the terms: 14 + 2x + 3(1 + x) = 0 14 + 2x + (1 * 3 + x * 3) = 0 14 + 2x + (3 + 3x) = 0 Reorder the terms: 14 + 3 + 2x + 3x = 0 Combine like terms: 14 + 3 = 17 17 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 17 + 5x = 0 Solving 17 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 0 + -17 5x = 0 + -17 Combine like terms: 0 + -17 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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