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Simplifying 3(2x + 12) = 2(2x + 5) Reorder the terms: 3(12 + 2x) = 2(2x + 5) (12 * 3 + 2x * 3) = 2(2x + 5) (36 + 6x) = 2(2x + 5) Reorder the terms: 36 + 6x = 2(5 + 2x) 36 + 6x = (5 * 2 + 2x * 2) 36 + 6x = (10 + 4x) Solving 36 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x 36 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 2x = 10 + 0 36 + 2x = 10 Add '-36' to each side of the equation. 36 + -36 + 2x = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 10 + -36 2x = 10 + -36 Combine like terms: 10 + -36 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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