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Simplifying 3(x + 6) + 4(x + 2) = 12 Reorder the terms: 3(6 + x) + 4(x + 2) = 12 (6 * 3 + x * 3) + 4(x + 2) = 12 (18 + 3x) + 4(x + 2) = 12 Reorder the terms: 18 + 3x + 4(2 + x) = 12 18 + 3x + (2 * 4 + x * 4) = 12 18 + 3x + (8 + 4x) = 12 Reorder the terms: 18 + 8 + 3x + 4x = 12 Combine like terms: 18 + 8 = 26 26 + 3x + 4x = 12 Combine like terms: 3x + 4x = 7x 26 + 7x = 12 Solving 26 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7x = 12 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 12 + -26 7x = 12 + -26 Combine like terms: 12 + -26 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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