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Simplifying 5(x + 2) + 3(7 + x) = 0 Reorder the terms: 5(2 + x) + 3(7 + x) = 0 (2 * 5 + x * 5) + 3(7 + x) = 0 (10 + 5x) + 3(7 + x) = 0 10 + 5x + (7 * 3 + x * 3) = 0 10 + 5x + (21 + 3x) = 0 Reorder the terms: 10 + 21 + 5x + 3x = 0 Combine like terms: 10 + 21 = 31 31 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 31 + 8x = 0 Solving 31 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 8x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 8x = 0 + -31 8x = 0 + -31 Combine like terms: 0 + -31 = -31 8x = -31 Divide each side by '8'. x = -3.875 Simplifying x = -3.875
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