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Simplifying 5(x + 3) + 2(x + 6) = 6 Reorder the terms: 5(3 + x) + 2(x + 6) = 6 (3 * 5 + x * 5) + 2(x + 6) = 6 (15 + 5x) + 2(x + 6) = 6 Reorder the terms: 15 + 5x + 2(6 + x) = 6 15 + 5x + (6 * 2 + x * 2) = 6 15 + 5x + (12 + 2x) = 6 Reorder the terms: 15 + 12 + 5x + 2x = 6 Combine like terms: 15 + 12 = 27 27 + 5x + 2x = 6 Combine like terms: 5x + 2x = 7x 27 + 7x = 6 Solving 27 + 7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 7x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 6 + -27 7x = 6 + -27 Combine like terms: 6 + -27 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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