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Simplifying 7(x + 9) = 5(x + 5) Reorder the terms: 7(9 + x) = 5(x + 5) (9 * 7 + x * 7) = 5(x + 5) (63 + 7x) = 5(x + 5) Reorder the terms: 63 + 7x = 5(5 + x) 63 + 7x = (5 * 5 + x * 5) 63 + 7x = (25 + 5x) Solving 63 + 7x = 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. 63 + 7x + -5x = 25 + 5x + -5x Combine like terms: 7x + -5x = 2x 63 + 2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 63 + 2x = 25 + 0 63 + 2x = 25 Add '-63' to each side of the equation. 63 + -63 + 2x = 25 + -63 Combine like terms: 63 + -63 = 0 0 + 2x = 25 + -63 2x = 25 + -63 Combine like terms: 25 + -63 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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