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Simplifying 3(x + 2) + 5(x + 1) = 0 Reorder the terms: 3(2 + x) + 5(x + 1) = 0 (2 * 3 + x * 3) + 5(x + 1) = 0 (6 + 3x) + 5(x + 1) = 0 Reorder the terms: 6 + 3x + 5(1 + x) = 0 6 + 3x + (1 * 5 + x * 5) = 0 6 + 3x + (5 + 5x) = 0 Reorder the terms: 6 + 5 + 3x + 5x = 0 Combine like terms: 6 + 5 = 11 11 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 11 + 8x = 0 Solving 11 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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