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Simplifying 9(x + 1) = 6(x + 3) Reorder the terms: 9(1 + x) = 6(x + 3) (1 * 9 + x * 9) = 6(x + 3) (9 + 9x) = 6(x + 3) Reorder the terms: 9 + 9x = 6(3 + x) 9 + 9x = (3 * 6 + x * 6) 9 + 9x = (18 + 6x) Solving 9 + 9x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 9x + -6x = 18 + 6x + -6x Combine like terms: 9x + -6x = 3x 9 + 3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 3x = 18 + 0 9 + 3x = 18 Add '-9' to each side of the equation. 9 + -9 + 3x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 18 + -9 3x = 18 + -9 Combine like terms: 18 + -9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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