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Simplifying x + 2x = (x + 5) + (x + 7) Combine like terms: x + 2x = 3x 3x = (x + 5) + (x + 7) Reorder the terms: 3x = (5 + x) + (x + 7) Remove parenthesis around (5 + x) 3x = 5 + x + (x + 7) Reorder the terms: 3x = 5 + x + (7 + x) Remove parenthesis around (7 + x) 3x = 5 + x + 7 + x Reorder the terms: 3x = 5 + 7 + x + x Combine like terms: 5 + 7 = 12 3x = 12 + x + x Combine like terms: x + x = 2x 3x = 12 + 2x Solving 3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = 12 + 0 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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