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Simplifying 13(x + 3) = 7(x + 9) Reorder the terms: 13(3 + x) = 7(x + 9) (3 * 13 + x * 13) = 7(x + 9) (39 + 13x) = 7(x + 9) Reorder the terms: 39 + 13x = 7(9 + x) 39 + 13x = (9 * 7 + x * 7) 39 + 13x = (63 + 7x) Solving 39 + 13x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + 13x + -7x = 63 + 7x + -7x Combine like terms: 13x + -7x = 6x 39 + 6x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + 6x = 63 + 0 39 + 6x = 63 Add '-39' to each side of the equation. 39 + -39 + 6x = 63 + -39 Combine like terms: 39 + -39 = 0 0 + 6x = 63 + -39 6x = 63 + -39 Combine like terms: 63 + -39 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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