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Simplifying 6(x + 3) = 5(x + 5) Reorder the terms: 6(3 + x) = 5(x + 5) (3 * 6 + x * 6) = 5(x + 5) (18 + 6x) = 5(x + 5) Reorder the terms: 18 + 6x = 5(5 + x) 18 + 6x = (5 * 5 + x * 5) 18 + 6x = (25 + 5x) Solving 18 + 6x = 25 + 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. 18 + 6x + -5x = 25 + 5x + -5x Combine like terms: 6x + -5x = 1x 18 + 1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 1x = 25 + 0 18 + 1x = 25 Add '-18' to each side of the equation. 18 + -18 + 1x = 25 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 25 + -18 1x = 25 + -18 Combine like terms: 25 + -18 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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