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Simplifying 6(x + 6) = 5(x + 9) Reorder the terms: 6(6 + x) = 5(x + 9) (6 * 6 + x * 6) = 5(x + 9) (36 + 6x) = 5(x + 9) Reorder the terms: 36 + 6x = 5(9 + x) 36 + 6x = (9 * 5 + x * 5) 36 + 6x = (45 + 5x) Solving 36 + 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. 36 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x 36 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 1x = 45 + 0 36 + 1x = 45 Add '-36' to each side of the equation. 36 + -36 + 1x = 45 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 45 + -36 1x = 45 + -36 Combine like terms: 45 + -36 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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