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Simplifying 6(x + 2) + 3(2x + -3) = 39 Reorder the terms: 6(2 + x) + 3(2x + -3) = 39 (2 * 6 + x * 6) + 3(2x + -3) = 39 (12 + 6x) + 3(2x + -3) = 39 Reorder the terms: 12 + 6x + 3(-3 + 2x) = 39 12 + 6x + (-3 * 3 + 2x * 3) = 39 12 + 6x + (-9 + 6x) = 39 Reorder the terms: 12 + -9 + 6x + 6x = 39 Combine like terms: 12 + -9 = 3 3 + 6x + 6x = 39 Combine like terms: 6x + 6x = 12x 3 + 12x = 39 Solving 3 + 12x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12x = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 39 + -3 12x = 39 + -3 Combine like terms: 39 + -3 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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