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Simplifying 7(x + 2) = 5(x + 6) Reorder the terms: 7(2 + x) = 5(x + 6) (2 * 7 + x * 7) = 5(x + 6) (14 + 7x) = 5(x + 6) Reorder the terms: 14 + 7x = 5(6 + x) 14 + 7x = (6 * 5 + x * 5) 14 + 7x = (30 + 5x) Solving 14 + 7x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 7x + -5x = 30 + 5x + -5x Combine like terms: 7x + -5x = 2x 14 + 2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 2x = 30 + 0 14 + 2x = 30 Add '-14' to each side of the equation. 14 + -14 + 2x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 30 + -14 2x = 30 + -14 Combine like terms: 30 + -14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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