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Simplifying 5(x + 3) + 7(x + 2) = 11 Reorder the terms: 5(3 + x) + 7(x + 2) = 11 (3 * 5 + x * 5) + 7(x + 2) = 11 (15 + 5x) + 7(x + 2) = 11 Reorder the terms: 15 + 5x + 7(2 + x) = 11 15 + 5x + (2 * 7 + x * 7) = 11 15 + 5x + (14 + 7x) = 11 Reorder the terms: 15 + 14 + 5x + 7x = 11 Combine like terms: 15 + 14 = 29 29 + 5x + 7x = 11 Combine like terms: 5x + 7x = 12x 29 + 12x = 11 Solving 29 + 12x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 12x = 11 + -29 Combine like terms: 29 + -29 = 0 0 + 12x = 11 + -29 12x = 11 + -29 Combine like terms: 11 + -29 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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