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Simplifying 7(x + 5) = 9(x + 3) Reorder the terms: 7(5 + x) = 9(x + 3) (5 * 7 + x * 7) = 9(x + 3) (35 + 7x) = 9(x + 3) Reorder the terms: 35 + 7x = 9(3 + x) 35 + 7x = (3 * 9 + x * 9) 35 + 7x = (27 + 9x) Solving 35 + 7x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 7x + -9x = 27 + 9x + -9x Combine like terms: 7x + -9x = -2x 35 + -2x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -2x = 27 + 0 35 + -2x = 27 Add '-35' to each side of the equation. 35 + -35 + -2x = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 27 + -35 -2x = 27 + -35 Combine like terms: 27 + -35 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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