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Simplifying 2(x + 7) + 2(3x) = 3(2x + 12) Reorder the terms: 2(7 + x) + 2(3x) = 3(2x + 12) (7 * 2 + x * 2) + 2(3x) = 3(2x + 12) (14 + 2x) + 2(3x) = 3(2x + 12) Remove parenthesis around (3x) 14 + 2x + 2 * 3x = 3(2x + 12) Multiply 2 * 3 14 + 2x + 6x = 3(2x + 12) Combine like terms: 2x + 6x = 8x 14 + 8x = 3(2x + 12) Reorder the terms: 14 + 8x = 3(12 + 2x) 14 + 8x = (12 * 3 + 2x * 3) 14 + 8x = (36 + 6x) Solving 14 + 8x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 8x + -6x = 36 + 6x + -6x Combine like terms: 8x + -6x = 2x 14 + 2x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 2x = 36 + 0 14 + 2x = 36 Add '-14' to each side of the equation. 14 + -14 + 2x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 36 + -14 2x = 36 + -14 Combine like terms: 36 + -14 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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