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Simplifying 9(x + 4) = 6(x + 7) Reorder the terms: 9(4 + x) = 6(x + 7) (4 * 9 + x * 9) = 6(x + 7) (36 + 9x) = 6(x + 7) Reorder the terms: 36 + 9x = 6(7 + x) 36 + 9x = (7 * 6 + x * 6) 36 + 9x = (42 + 6x) Solving 36 + 9x = 42 + 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. 36 + 9x + -6x = 42 + 6x + -6x Combine like terms: 9x + -6x = 3x 36 + 3x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 3x = 42 + 0 36 + 3x = 42 Add '-36' to each side of the equation. 36 + -36 + 3x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 42 + -36 3x = 42 + -36 Combine like terms: 42 + -36 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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