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Simplifying 7(x + 3) = 6(x + 5) Reorder the terms: 7(3 + x) = 6(x + 5) (3 * 7 + x * 7) = 6(x + 5) (21 + 7x) = 6(x + 5) Reorder the terms: 21 + 7x = 6(5 + x) 21 + 7x = (5 * 6 + x * 6) 21 + 7x = (30 + 6x) Solving 21 + 7x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 7x + -6x = 30 + 6x + -6x Combine like terms: 7x + -6x = 1x 21 + 1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 1x = 30 + 0 21 + 1x = 30 Add '-21' to each side of the equation. 21 + -21 + 1x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 30 + -21 1x = 30 + -21 Combine like terms: 30 + -21 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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