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Simplifying 9(x + 2) = 7(x + 4) Reorder the terms: 9(2 + x) = 7(x + 4) (2 * 9 + x * 9) = 7(x + 4) (18 + 9x) = 7(x + 4) Reorder the terms: 18 + 9x = 7(4 + x) 18 + 9x = (4 * 7 + x * 7) 18 + 9x = (28 + 7x) Solving 18 + 9x = 28 + 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. 18 + 9x + -7x = 28 + 7x + -7x Combine like terms: 9x + -7x = 2x 18 + 2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 2x = 28 + 0 18 + 2x = 28 Add '-18' to each side of the equation. 18 + -18 + 2x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 28 + -18 2x = 28 + -18 Combine like terms: 28 + -18 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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