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Simplifying 9(x + 3) = 7(x + 5) Reorder the terms: 9(3 + x) = 7(x + 5) (3 * 9 + x * 9) = 7(x + 5) (27 + 9x) = 7(x + 5) Reorder the terms: 27 + 9x = 7(5 + x) 27 + 9x = (5 * 7 + x * 7) 27 + 9x = (35 + 7x) Solving 27 + 9x = 35 + 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. 27 + 9x + -7x = 35 + 7x + -7x Combine like terms: 9x + -7x = 2x 27 + 2x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + 2x = 35 + 0 27 + 2x = 35 Add '-27' to each side of the equation. 27 + -27 + 2x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 35 + -27 2x = 35 + -27 Combine like terms: 35 + -27 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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