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Simplifying 2(2x + x) = 2(x + 12) + 2(3 + x) Combine like terms: 2x + x = 3x 2(3x) = 2(x + 12) + 2(3 + x) Remove parenthesis around (3x) 2 * 3x = 2(x + 12) + 2(3 + x) Multiply 2 * 3 6x = 2(x + 12) + 2(3 + x) Reorder the terms: 6x = 2(12 + x) + 2(3 + x) 6x = (12 * 2 + x * 2) + 2(3 + x) 6x = (24 + 2x) + 2(3 + x) 6x = 24 + 2x + (3 * 2 + x * 2) 6x = 24 + 2x + (6 + 2x) Reorder the terms: 6x = 24 + 6 + 2x + 2x Combine like terms: 24 + 6 = 30 6x = 30 + 2x + 2x Combine like terms: 2x + 2x = 4x 6x = 30 + 4x Solving 6x = 30 + 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. 6x + -4x = 30 + 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 2x = 30 + 0 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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