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Simplifying 6(7 + x) = 5(9 + x) (7 * 6 + x * 6) = 5(9 + x) (42 + 6x) = 5(9 + x) 42 + 6x = (9 * 5 + x * 5) 42 + 6x = (45 + 5x) Solving 42 + 6x = 45 + 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 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x 42 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 1x = 45 + 0 42 + 1x = 45 Add '-42' to each side of the equation. 42 + -42 + 1x = 45 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 45 + -42 1x = 45 + -42 Combine like terms: 45 + -42 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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