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Simplifying 3x + (x + 7) + 3x + (x + 7) = (2x + 12) + (2x + 12) + (2x + 12) Reorder the terms: 3x + (7 + x) + 3x + (x + 7) = (2x + 12) + (2x + 12) + (2x + 12) Remove parenthesis around (7 + x) 3x + 7 + x + 3x + (x + 7) = (2x + 12) + (2x + 12) + (2x + 12) Reorder the terms: 3x + 7 + x + 3x + (7 + x) = (2x + 12) + (2x + 12) + (2x + 12) Remove parenthesis around (7 + x) 3x + 7 + x + 3x + 7 + x = (2x + 12) + (2x + 12) + (2x + 12) Reorder the terms: 7 + 7 + 3x + x + 3x + x = (2x + 12) + (2x + 12) + (2x + 12) Combine like terms: 7 + 7 = 14 14 + 3x + x + 3x + x = (2x + 12) + (2x + 12) + (2x + 12) Combine like terms: 3x + x = 4x 14 + 4x + 3x + x = (2x + 12) + (2x + 12) + (2x + 12) Combine like terms: 4x + 3x = 7x 14 + 7x + x = (2x + 12) + (2x + 12) + (2x + 12) Combine like terms: 7x + x = 8x 14 + 8x = (2x + 12) + (2x + 12) + (2x + 12) Reorder the terms: 14 + 8x = (12 + 2x) + (2x + 12) + (2x + 12) Remove parenthesis around (12 + 2x) 14 + 8x = 12 + 2x + (2x + 12) + (2x + 12) Reorder the terms: 14 + 8x = 12 + 2x + (12 + 2x) + (2x + 12) Remove parenthesis around (12 + 2x) 14 + 8x = 12 + 2x + 12 + 2x + (2x + 12) Reorder the terms: 14 + 8x = 12 + 2x + 12 + 2x + (12 + 2x) Remove parenthesis around (12 + 2x) 14 + 8x = 12 + 2x + 12 + 2x + 12 + 2x Reorder the terms: 14 + 8x = 12 + 12 + 12 + 2x + 2x + 2x Combine like terms: 12 + 12 = 24 14 + 8x = 24 + 12 + 2x + 2x + 2x Combine like terms: 24 + 12 = 36 14 + 8x = 36 + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x 14 + 8x = 36 + 4x + 2x Combine like terms: 4x + 2x = 6x 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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