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