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Simplifying 7(x + 6) = 5(x + 12) Reorder the terms: 7(6 + x) = 5(x + 12) (6 * 7 + x * 7) = 5(x + 12) (42 + 7x) = 5(x + 12) Reorder the terms: 42 + 7x = 5(12 + x) 42 + 7x = (12 * 5 + x * 5) 42 + 7x = (60 + 5x) Solving 42 + 7x = 60 + 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. 42 + 7x + -5x = 60 + 5x + -5x Combine like terms: 7x + -5x = 2x 42 + 2x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 2x = 60 + 0 42 + 2x = 60 Add '-42' to each side of the equation. 42 + -42 + 2x = 60 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 60 + -42 2x = 60 + -42 Combine like terms: 60 + -42 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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