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Simplifying 2(x + 6) + 3(x + 4) = 12 Reorder the terms: 2(6 + x) + 3(x + 4) = 12 (6 * 2 + x * 2) + 3(x + 4) = 12 (12 + 2x) + 3(x + 4) = 12 Reorder the terms: 12 + 2x + 3(4 + x) = 12 12 + 2x + (4 * 3 + x * 3) = 12 12 + 2x + (12 + 3x) = 12 Reorder the terms: 12 + 12 + 2x + 3x = 12 Combine like terms: 12 + 12 = 24 24 + 2x + 3x = 12 Combine like terms: 2x + 3x = 5x 24 + 5x = 12 Solving 24 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 12 + -24 5x = 12 + -24 Combine like terms: 12 + -24 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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